The Magma command of the automorphism groups of the 2-designs


=<7,[144]>=

PermutationGroup<48|
{
    (6, 31, 17, 48)(8, 29, 18, 37)(9, 26, 20, 46)(10, 27, 21, 36)(11, 28, 19, 39)(16, 38, 23, 25)(30, 41)(32, 42)(33, 44)(34, 45)(35, 
        43)(40, 47),
    (25, 42)(26, 34)(27, 33)(28, 41)(29, 40)(30, 39)(31, 43)(32, 38)(35, 48)(36, 44)(37, 47)(45, 46),
    (2, 31, 33, 24)(3, 39, 34, 4)(5, 40, 18, 25)(6, 20, 41, 46)(7, 45, 30, 10)(9, 15, 44, 43)(11, 26, 28, 22)(12, 17, 27, 48)(14, 32, 23, 
        37)(19, 21, 35, 36)(29, 42)(38, 47),
    (2, 20, 46, 44, 36, 34, 3, 10)(4, 7, 48, 24)(5, 38, 25, 13)(6, 35)(8, 32, 40, 42)(9, 12, 33, 22, 45, 26, 21, 27)(11, 19, 30, 41)(14, 
        37)(15, 39, 31, 28)(16, 47, 23, 18),
    (1, 3, 31, 38, 21, 6)(2, 35, 13, 20, 4, 29)(5, 44, 43, 37, 26, 15)(7, 23, 10, 30, 40, 12)(8, 46, 39, 42, 33, 19)(9, 28, 18, 22, 11, 
        32)(14, 27, 17, 25, 45, 48)(16, 34, 24, 47, 36, 41),
    (3, 36, 20, 45, 21, 9)(4, 28, 31, 43, 11, 48)(5, 18, 38, 42, 37, 25)(6, 35, 39, 17, 15, 19)(7, 41, 24)(8, 23, 13, 29, 16, 32)(10, 46, 
        34, 27, 26, 12)(14, 40, 47)(22, 44, 33),
    (25, 38)(26, 46)(27, 36)(28, 39)(29, 37)(30, 41)(31, 48)(32, 42)(33, 44)(34, 45)(35, 43)(40, 47),
    (5, 25)(7, 28)(9, 45)(10, 44)(11, 30)(12, 26)(14, 37)(15, 48)(17, 43)(18, 40)(22, 27)(23, 32),
    (4, 48, 39, 19, 24, 28, 31, 6)(5, 47, 8, 37)(7, 17, 41, 30, 15, 11, 35, 43)(9, 10)(12, 33, 21, 27)(14, 42, 16, 25)(18, 23)(20, 26, 22, 
        34)(29, 40, 38, 32)(36, 44, 46, 45),
    (25, 37)(26, 27)(28, 48)(29, 38)(30, 43)(31, 39)(32, 40)(33, 34)(35, 41)(36, 46)(42, 47)(44, 45)
}
>;

==================================

=<8,[129]>=

PermutationGroup<48|
{
    (1, 12, 39, 32, 26, 19)(2, 43, 25, 36, 15, 8)(3, 28, 42, 46, 11, 14)(4, 18, 22, 35, 38, 27)(5, 21, 41, 47, 33, 24)(6, 16, 20, 31, 37, 
        34)(7, 13, 10, 30, 40, 44)(9, 48, 29, 45, 17, 23),
    (5, 29)(7, 31)(9, 33)(10, 34)(11, 35)(12, 36)(14, 38)(15, 39)(17, 41)(18, 42)(22, 46)(23, 47),
    (6, 30)(8, 32)(9, 33)(10, 34)(11, 35)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(23, 47),
    (4, 7)(5, 29)(6, 35)(8, 32)(9, 33)(11, 30)(13, 37)(14, 38)(15, 48)(16, 40)(17, 43)(18, 42)(19, 41)(20, 44)(21, 45)(22, 46)(24, 39)(28, 
        31),
    (3, 34, 27, 10)(4, 7)(5, 29)(6, 11)(13, 18, 37, 42)(14, 16, 38, 40)(15, 17, 39, 41)(19, 48, 43, 24)(20, 46, 44, 22)(23, 47)(28, 31)(30, 
        35),
    (2, 26)(3, 34, 27, 10)(4, 28)(7, 31)(8, 32)(12, 36)(13, 18, 37, 42)(14, 16, 38, 40)(15, 43, 39, 19)(17, 24, 41, 48)(20, 22, 44, 46)(23, 
        47),
    (7, 31)(9, 33)(11, 35)(12, 36)(13, 37)(17, 41)(18, 42)(24, 48),
    (2, 12)(4, 28)(7, 31)(8, 32)(9, 45)(10, 34)(13, 14)(15, 48)(16, 42)(17, 19)(18, 40)(20, 44)(21, 33)(23, 47)(24, 39)(26, 36)(37, 38)(41, 
        43),
    (1, 6)(2, 10, 33, 20, 26, 34, 9, 44)(3, 45, 46, 12, 27, 21, 22, 36)(4, 8)(5, 7, 29, 31)(11, 47, 35, 23)(13, 17, 16, 39)(14, 48, 42, 
        43)(15, 37, 41, 40)(18, 19, 38, 24)(25, 30)(28, 32),
    (2, 21)(3, 20)(9, 12)(10, 22)(26, 45)(27, 44)(33, 36)(34, 46),
    (3, 27)(5, 29)(6, 30)(8, 32)(9, 33)(10, 34)(11, 35)(21, 45)
}
>;

=<8,[130]>=

PermutationGroup<48|
{
    (3, 30, 20, 6)(4, 27, 28, 44)(5, 37, 47, 15)(7, 11, 35, 31)(8, 25)(9, 41, 33, 40)(10, 14, 22, 38)(12, 17, 36, 16)(13, 29, 39, 23)(18, 
        43)(21, 26)(24, 46, 48, 34),
    (6, 28)(8, 25)(11, 31)(12, 33)(15, 37)(16, 41)(18, 43)(20, 27)(21, 26)(22, 34)(23, 29)(24, 38),
    (5, 23)(7, 11)(14, 24)(18, 19)(25, 32)(26, 45)(27, 44)(28, 30)(33, 36)(34, 46)(37, 39)(40, 41),
    (2, 36, 15, 23, 40, 21, 9, 39, 5, 17, 45, 12, 13, 29, 16)(3, 4, 10, 18, 24)(6, 46, 42, 14, 44, 28, 22, 43, 48, 20, 30, 34, 19, 38, 
        27)(7, 11, 31)(8, 32, 25)(26, 33, 37, 47, 41),
    (25, 32)(26, 45)(27, 44)(28, 30)(29, 47)(31, 35)(33, 36)(34, 46)(37, 39)(38, 48)(40, 41)(42, 43),
    (7, 35)(10, 46)(11, 31)(13, 39)(15, 37)(18, 43)(19, 42)(22, 34),
    (4, 30)(5, 23)(6, 28)(7, 31)(9, 36)(10, 46)(11, 35)(12, 33)(14, 24)(18, 19)(22, 34)(29, 47)(38, 48)(42, 43),
    (1, 13)(2, 4)(3, 35)(5, 18)(6, 21)(7, 27)(8, 15)(9, 10)(11, 44)(12, 22)(14, 41)(16, 38)(17, 48)(19, 23)(20, 31)(24, 40)(25, 39)(26, 
        30)(28, 45)(29, 43)(32, 37)(33, 46)(34, 36)(42, 47)
}
>;

=<8,[131]>=

PermutationGroup<48|
{
    (6, 28, 30)(8, 25, 32)(11, 31, 35)(12, 33, 36)(15, 41, 39)(16, 37, 40)(18, 38, 42)(20, 27, 44)(21, 26, 45)(22, 34, 46)(23, 29, 47)(24, 
        43, 48),
    (4, 39, 30, 15)(5, 29, 23, 47)(6, 41, 28, 17)(7, 24, 31, 43)(9, 33, 12, 36)(10, 34, 22, 46)(11, 19, 35, 48)(14, 38, 18, 42)(25, 32)(26, 
        45)(27, 44)(37, 40),
    (9, 36, 12, 33)(10, 46, 22, 34)(15, 41, 17, 39)(19, 48, 24, 43)(25, 32)(26, 45)(27, 44)(28, 30)(29, 47)(31, 35)(37, 40)(38, 42),
    (5, 29, 47)(6, 30, 28)(7, 31, 35)(8, 32, 25)(9, 33, 36)(10, 34, 46)(14, 38, 42)(16, 40, 37)(17, 41, 39)(20, 44, 27)(21, 45, 26)(24, 48, 
        43),
    (3, 20)(4, 24, 30, 48)(5, 47, 23, 29)(6, 19, 28, 43)(7, 41, 31, 15)(9, 12)(11, 39, 35, 17)(13, 16)(14, 38, 18, 42)(25, 32)(26, 45)(34, 
        46),
    (2, 15, 3, 19, 21, 17, 20, 24)(4, 36, 7, 46, 6, 33, 11, 34)(5, 13, 23, 16)(9, 31, 10, 30, 12, 35, 22, 28)(14, 18)(25, 32)(26, 41, 27, 
        48, 45, 39, 44, 43)(29, 40, 47, 37),
    (4, 31, 6, 11)(5, 23, 29, 47)(7, 30, 35, 28)(8, 32)(9, 36, 33, 12)(10, 46, 34, 22)(14, 18, 38, 42)(15, 43, 41, 48)(16, 40)(17, 24, 39, 
        19)(20, 44)(21, 45),
    (25, 32)(26, 45)(27, 44)(28, 30)(29, 47)(31, 35)(33, 36)(34, 46)(37, 40)(38, 42)(39, 41)(43, 48),
    (1, 2, 13, 20)(3, 8, 21, 16)(4, 48, 28, 19)(5, 10, 42, 36)(6, 43, 30, 24)(7, 35, 11, 31)(9, 29, 46, 18)(12, 47, 34, 14)(22, 38, 33, 
        23)(25, 45, 37, 27)(26, 40, 44, 32)(39, 41)
}
>;

=<8,[132]>=

PermutationGroup<48|
{
    (6, 24)(7, 36)(8, 21)(10, 23)(12, 31)(13, 16)(14, 39)(15, 38)(17, 42)(18, 41)(19, 44)(20, 43)(30, 48)(32, 45)(34, 47)(37, 40),
    (3, 35, 7, 33, 28, 43, 27, 11, 31, 9, 4, 19)(5, 29)(6, 17, 37)(8, 10, 32, 34)(12, 20, 36, 44)(13, 30, 41)(15, 40, 24)(16, 48, 39)(21, 
        23, 45, 47)(22, 46),
    (6, 48)(8, 45)(10, 47)(13, 40)(14, 42)(15, 41)(16, 37)(17, 39)(18, 38)(21, 32)(23, 34)(24, 30),
    (3, 36)(4, 28)(5, 29)(6, 30)(7, 31)(9, 20)(10, 34)(12, 27)(13, 38)(14, 37)(15, 39)(16, 42)(17, 41)(18, 40)(22, 46)(23, 47)(24, 48)(33, 
        44),
    (7, 12)(14, 17)(15, 18)(19, 20)(31, 36)(38, 41)(39, 42)(43, 44),
    (5, 29)(6, 24)(7, 36)(8, 21)(9, 33)(10, 47)(11, 35)(12, 31)(13, 16)(14, 39)(15, 38)(17, 42)(18, 41)(19, 20)(22, 46)(23, 34)(30, 48)(32, 
        45)(37, 40)(43, 44),
    (1, 23)(2, 10)(5, 8)(21, 22)(25, 47)(26, 34)(29, 32)(45, 46),
    (2, 22)(3, 41, 27, 17)(4, 30)(6, 28)(7, 13, 31, 37)(9, 39, 33, 15)(10, 21)(11, 48)(12, 14)(16, 43, 40, 19)(18, 20)(24, 35)(26, 46)(34, 
        45)(36, 38)(42, 44),
    (2, 45, 32)(3, 6, 39)(4, 17, 16)(7, 37, 24)(8, 26, 21)(9, 35, 19)(10, 23, 46)(11, 43, 33)(12, 38, 42)(13, 48, 31)(14, 18, 36)(15, 27, 
        30)(22, 34, 47)(28, 41, 40),
    (4, 31, 36)(5, 29)(6, 17, 38, 30, 41, 14)(7, 12, 28)(8, 32)(9, 33)(11, 19, 44, 35, 43, 20)(13, 37)(15, 42, 48, 39, 18, 24)(16, 40)(21, 
        45)(22, 46),
    (7, 36)(12, 31)(14, 41)(15, 42)(17, 38)(18, 39)(19, 44)(20, 43)
}
>;

=<8,[133]>=

PermutationGroup<48|
{
    (6, 30, 18, 42)(8, 32, 10, 34)(9, 14, 33, 48)(11, 15, 35, 37)(13, 44, 39, 20)(16, 40, 17, 41)(19, 24, 43, 38)(21, 45, 23, 47)(25, 
        29)(26, 46)(27, 31)(28, 36),
    (25, 32)(26, 45)(27, 40)(28, 30)(29, 34)(31, 41)(33, 39)(35, 38)(36, 42)(37, 43)(44, 48)(46, 47),
    (9, 37, 15, 43)(11, 48, 14, 44)(13, 33, 19, 39)(20, 38, 24, 35)(25, 32)(26, 45)(27, 40)(28, 30)(29, 34)(31, 41)(36, 42)(46, 47),
    (4, 38, 33)(6, 35, 39)(9, 42, 14, 13, 28, 20)(11, 19, 30, 24, 15, 36)(12, 48, 43)(18, 44, 37)(25, 34)(26, 47)(27, 41)(29, 32)(31, 
        40)(45, 46),
    (5, 32, 8)(6, 12, 30)(7, 40, 16)(9, 19, 37, 43, 33, 15)(10, 34, 25)(11, 20, 48, 44, 35, 14)(13, 39)(17, 41, 27)(18, 42, 28)(21, 22, 
        45)(23, 47, 26)(24, 38),
    (2, 16)(3, 21)(7, 23)(9, 19)(11, 20)(13, 15)(14, 24)(17, 22)(25, 29)(26, 41)(27, 47)(28, 36)(30, 42)(31, 45)(32, 34)(40, 46),
    (9, 14)(11, 15)(13, 20)(19, 24)(33, 38)(35, 39)(37, 44)(43, 48),
    (3, 48)(7, 38)(9, 15)(11, 31)(13, 19)(14, 41)(16, 44)(17, 35)(20, 27)(24, 40)(25, 32)(26, 45)(28, 30)(29, 34)(36, 42)(46, 47),
    (1, 4)(2, 45)(3, 40)(5, 42)(6, 8)(10, 36)(12, 34)(13, 43)(16, 27)(18, 29)(19, 37)(20, 48)(21, 26)(24, 44)(25, 28)(30, 32),
    (2, 22)(4, 36)(6, 18)(8, 32)(9, 48)(10, 34)(11, 13)(12, 28)(14, 43)(15, 20)(16, 40)(17, 41)(19, 38)(21, 47)(23, 45)(24, 33)(26, 46)(30, 
        42)(35, 37)(39, 44),
    (25, 34)(26, 47)(27, 41)(28, 42)(29, 32)(30, 36)(31, 40)(33, 37)(35, 48)(38, 44)(39, 43)(45, 46)
}
>;

==================================
=<9,[59]>=

PermutationGroup<48|
{
    (4, 7, 28, 31)(6, 11, 30, 35)(10, 34)(13, 37)(15, 48, 39, 24)(17, 19, 41, 43)(18, 42)(22, 46),
    (3, 27)(4, 6)(7, 35)(9, 12)(10, 22)(11, 31)(14, 38)(16, 40)(17, 41)(20, 44)(24, 48)(28, 30)(33, 36)(34, 46),
    (5, 29)(6, 30)(7, 31)(8, 32)(12, 36)(14, 38)(15, 39)(16, 40)(19, 43)(20, 44)(21, 45)(22, 46),
    (6, 30)(8, 32)(11, 35)(12, 36)(15, 39)(16, 40)(18, 42)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48),
    (2, 3, 26, 27)(4, 28)(5, 29)(6, 30)(7, 31)(9, 22)(10, 12)(11, 35)(15, 41, 39, 17)(16, 40)(18, 42)(19, 24, 43, 48)(20, 45, 44, 21)(23, 
        47)(33, 46)(34, 36),
    (4, 30)(5, 29)(6, 28)(7, 11)(9, 12)(10, 22)(14, 38)(15, 39)(17, 41)(18, 42)(23, 47)(31, 35)(33, 36)(34, 46),
    (2, 9, 26, 33)(3, 46, 27, 22)(4, 31, 28, 7)(5, 29)(6, 35, 30, 11)(10, 20, 34, 44)(12, 45, 36, 21)(13, 40)(14, 18)(15, 43, 39, 19)(16, 
        37)(17, 48, 41, 24)(23, 47)(38, 42),
    (9, 33)(10, 34)(12, 36)(15, 39)(17, 41)(19, 43)(22, 46)(24, 48),
    (1, 7)(3, 34)(4, 47)(5, 6)(8, 35)(9, 33)(10, 27)(11, 32)(13, 19)(14, 39)(15, 38)(16, 24)(17, 42)(18, 41)(20, 22)(21, 45)(23, 28)(25, 
        31)(29, 30)(37, 43)(40, 48)(44, 46),
    (7, 31)(10, 34)(11, 35)(13, 37)(15, 39)(18, 42)(19, 43)(22, 46)
}
>;

=<9,[60]>=

PermutationGroup<48|
{
    (5, 29)(7, 12)(9, 33)(10, 34)(11, 35)(14, 17)(15, 18)(19, 44)(20, 43)(22, 46)(23, 47)(31, 36)(38, 41)(39, 42),
    (6, 30)(7, 12)(8, 32)(10, 34)(13, 37)(14, 41)(15, 42)(16, 40)(17, 38)(18, 39)(19, 20)(21, 45)(23, 47)(24, 48)(31, 36)(43, 44),
    (3, 27)(4, 28)(8, 32)(11, 35)(12, 36)(14, 38)(18, 42)(19, 43)(21, 45)(22, 46)(23, 47)(24, 48),
    (2, 22)(3, 37)(4, 6)(7, 17)(9, 40)(10, 21)(11, 24)(12, 38)(13, 27)(14, 36)(15, 19)(16, 33)(18, 44)(20, 42)(26, 46)(28, 30)(31, 41)(34, 
        45)(35, 48)(39, 43),
    (1, 43, 32, 20, 25, 19, 8, 44)(2, 41, 21, 38, 26, 17, 45, 14)(3, 9, 27, 33)(4, 48)(5, 18, 23, 15, 29, 42, 47, 39)(6, 40, 30, 16)(7, 34, 
        36, 46, 31, 10, 12, 22)(11, 13)(24, 28)(35, 37),
    (7, 12)(14, 17)(15, 18)(19, 20)(31, 36)(38, 41)(39, 42)(43, 44),
    (9, 33)(10, 34)(12, 36)(15, 39)(17, 41)(19, 43)(22, 46)(24, 48),
    (4, 28)(5, 29)(6, 30)(9, 33)(10, 34)(12, 36)(14, 38)(18, 42)(19, 43)(22, 46)(23, 47)(24, 48)
}
>;

=<9,[61]>=

PermutationGroup<48|
{
    (5, 22, 29, 46)(6, 30)(8, 32)(9, 44, 33, 20)(10, 23, 34, 47)(11, 19, 35, 43)(12, 36)(13, 37)(14, 38)(16, 40)(18, 42)(21, 45),
    (4, 28)(5, 29)(6, 30)(7, 31)(9, 35)(11, 33)(12, 36)(13, 39)(14, 48)(15, 37)(19, 20)(23, 47)(24, 38)(43, 44),
    (10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(17, 41)(20, 44)(22, 46),
    (6, 30)(8, 32)(9, 11, 33, 35)(12, 36)(13, 15, 37, 39)(14, 24, 38, 48)(16, 40)(18, 42)(19, 20, 43, 44)(21, 45)(22, 46)(23, 47),
    (3, 30)(4, 18)(6, 27)(7, 16)(8, 32)(9, 33)(10, 34)(12, 41)(15, 39)(17, 36)(20, 44)(21, 45)(23, 47)(24, 48)(28, 42)(31, 40),
    (1, 39)(2, 48)(3, 36, 27, 12)(4, 40)(5, 9)(6, 41, 30, 17)(7, 42)(8, 37, 32, 13)(10, 43, 34, 19)(11, 47, 35, 23)(14, 21, 38, 45)(15, 
        25)(16, 28)(18, 31)(20, 46)(22, 44)(24, 26)(29, 33),
    (9, 11, 33, 35)(10, 34)(12, 36)(13, 39, 37, 15)(14, 48, 38, 24)(17, 41)(19, 20, 43, 44)(22, 46),
    (2, 32)(3, 40)(5, 14, 46, 48)(6, 31)(7, 30)(8, 26)(9, 35, 19, 44)(10, 39, 47, 13)(11, 43, 20, 33)(12, 41)(15, 23, 37, 34)(16, 27)(17, 
        36)(22, 24, 29, 38)
}
>;

=<9,[62]>=

PermutationGroup<48|
{
    (5, 29)(7, 31)(9, 33)(10, 34)(11, 35)(12, 36)(14, 38)(15, 39)(17, 41)(18, 42)(22, 46)(23, 47),
    (3, 27)(4, 29)(5, 28)(6, 47)(7, 20)(11, 35)(12, 43)(14, 41)(15, 18)(16, 40)(17, 38)(19, 36)(23, 30)(24, 48)(31, 44)(39, 42),
    (1, 2, 16)(3, 21, 8)(4, 43, 48)(5, 9, 17, 29, 33, 41)(6, 44, 37)(7, 15, 10, 31, 39, 34)(11, 18, 47, 35, 42, 23)(12, 14, 22, 36, 38, 
        46)(13, 30, 20)(19, 24, 28)(25, 26, 40)(27, 45, 32),
    (6, 30)(7, 31)(8, 32)(10, 34)(12, 36)(13, 37)(16, 40)(19, 43)(20, 44)(21, 45)(23, 47)(24, 48),
    (4, 29, 46)(5, 22, 28)(6, 47, 34)(7, 44, 35)(9, 36, 19)(10, 30, 23)(11, 31, 20)(12, 43, 33)(13, 18, 15)(14, 24, 17)(37, 42, 39)(38, 48, 
        41),
    (9, 33)(11, 35)(13, 37)(14, 38)(15, 39)(19, 43)(20, 44)(24, 48),
    (7, 31)(12, 36)(14, 38)(15, 39)(17, 41)(18, 42)(19, 43)(20, 44),
    (1, 6, 28, 10)(2, 15, 9, 18)(3, 17, 7, 48, 27, 41, 31, 24)(4, 34, 25, 30)(5, 32, 46, 47)(8, 22, 23, 29)(11, 14, 20, 40, 35, 38, 44, 
        16)(12, 45, 43, 13)(19, 37, 36, 21)(26, 39, 33, 42),
    (2, 43)(6, 10)(8, 23)(9, 36)(12, 33)(13, 42)(14, 40)(15, 45)(16, 38)(17, 48)(18, 37)(19, 26)(21, 39)(24, 41)(30, 34)(32, 47),
    (5, 22)(7, 31)(9, 19, 33, 43)(10, 23)(11, 20, 35, 44)(12, 36)(13, 15, 37, 39)(14, 48, 38, 24)(17, 41)(18, 42)(29, 46)(34, 47)
}
>;

=<9,[63]>=

PermutationGroup<48|
{
    (1, 43, 48, 45, 35, 38, 26, 20, 13, 8, 9, 15)(2, 44, 37, 32, 33, 39, 25, 19, 24, 21, 11, 14)(3, 40, 46, 30, 28, 23, 27, 16, 22, 6, 4, 
        47)(5, 7, 42, 36, 17, 10, 29, 31, 18, 12, 41, 34),
    (4, 28)(8, 32)(14, 38)(15, 39)(16, 40)(21, 45)(22, 46)(23, 47),
    (2, 26)(5, 29)(6, 30)(8, 32)(10, 34)(13, 37)(14, 38)(17, 41),
    (10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(17, 41)(20, 44)(22, 46),
    (5, 29)(6, 30)(8, 32)(16, 40)(17, 41)(18, 42)(21, 45)(22, 46),
    (9, 33)(10, 34)(12, 36)(15, 39)(17, 41)(19, 43)(22, 46)(24, 48),
    (3, 4, 27, 28)(5, 18)(6, 16, 30, 40)(8, 45)(9, 48)(10, 36)(11, 13)(12, 34)(14, 44, 38, 20)(15, 19, 39, 43)(17, 41)(21, 32)(23, 47)(24, 
        33)(29, 42)(35, 37),
    (6, 30)(7, 31)(8, 32)(9, 33)(13, 37)(15, 39)(16, 40)(17, 41)(20, 44)(21, 45)(22, 46)(23, 47)
}
>;

=<9,[64]>=

PermutationGroup<48|
{
    (1, 10)(2, 23)(3, 27)(4, 28)(5, 45)(7, 31)(8, 46)(12, 36)(21, 29)(22, 32)(25, 34)(26, 47),
    (3, 33, 36, 44)(4, 11, 31, 19)(5, 29)(6, 24, 17, 39)(7, 43, 28, 35)(8, 23, 32, 47)(9, 12, 20, 27)(10, 45, 34, 21)(13, 42, 38, 40)(14, 
        16, 37, 18)(15, 30, 48, 41)(22, 46),
    (4, 31)(6, 41)(7, 28)(11, 43)(15, 48)(17, 30)(19, 35)(24, 39),
    (7, 31)(9, 33)(11, 35)(12, 36)(13, 37)(17, 41)(18, 42)(24, 48),
    (5, 29)(6, 30)(7, 31)(8, 32)(9, 20, 33, 44)(11, 19, 35, 43)(12, 36)(13, 14, 37, 38)(15, 48, 39, 24)(16, 40)(21, 45)(22, 46),
    (6, 30)(7, 31)(8, 32)(9, 44, 33, 20)(10, 34)(11, 43, 35, 19)(12, 36)(13, 14, 37, 38)(15, 48, 39, 24)(16, 40)(21, 45)(23, 47),
    (9, 33)(11, 35)(13, 37)(14, 38)(15, 39)(19, 43)(20, 44)(24, 48),
    (3, 16, 27, 40)(4, 30, 28, 6)(7, 41, 31, 17)(8, 32)(9, 13, 33, 37)(10, 34)(11, 48, 35, 24)(12, 18, 36, 42)(14, 44, 38, 20)(15, 19, 39, 
        43)(21, 45)(23, 47),
    (5, 46)(6, 30)(7, 31)(8, 32)(9, 35)(10, 23)(11, 33)(12, 36)(13, 48)(14, 15)(16, 40)(19, 20)(21, 45)(22, 29)(24, 37)(34, 47)(38, 39)(43, 
        44),
    (9, 20)(11, 19)(13, 14)(15, 24)(33, 44)(35, 43)(37, 38)(39, 48),
    (2, 5)(3, 19)(4, 28)(8, 32)(10, 34)(11, 36)(12, 35)(13, 37)(15, 40)(16, 39)(17, 41)(18, 24)(20, 44)(21, 47)(23, 45)(26, 29)(27, 43)(42, 
        48)
}
>;

=<9,[65]>=

PermutationGroup<48|
{
    (1, 11)(2, 38, 26, 14)(3, 37, 27, 13)(4, 22, 28, 46)(5, 42)(6, 45, 30, 21)(7, 41)(8, 48)(9, 40, 33, 16)(10, 36)(12, 34)(15, 43)(17, 
        31)(18, 29)(19, 39)(20, 23, 44, 47)(24, 32)(25, 35),
    (6, 30)(7, 31)(8, 32)(10, 34)(13, 37)(14, 38)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46),
    (2, 26)(3, 23, 27, 47)(4, 35)(6, 10)(7, 22, 31, 46)(8, 32)(9, 12, 33, 36)(11, 28)(13, 14, 37, 38)(15, 48, 39, 24)(17, 41)(18, 43, 42, 
        19)(20, 44)(30, 34),
    (4, 28)(5, 29)(7, 31)(8, 32)(10, 34)(13, 37)(15, 39)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(17, 41)(20, 44)(22, 46),
    (4, 34, 28, 10)(5, 20, 29, 44)(6, 35, 30, 11)(7, 31)(9, 33)(13, 39, 37, 15)(14, 48, 38, 24)(16, 17, 40, 41),
    (2, 43, 26, 19)(3, 8, 27, 32)(4, 40)(6, 24, 30, 48)(7, 18)(9, 23)(10, 17)(11, 38, 35, 14)(15, 39)(16, 28)(20, 44)(31, 42)(33, 47)(34, 
        41),
    (5, 29)(6, 30)(8, 32)(9, 33)(10, 34)(14, 38)(15, 39)(17, 41)(19, 43)(21, 45)(22, 46)(23, 47),
    (3, 23, 27, 47)(4, 6)(5, 20)(7, 22, 31, 46)(9, 12, 33, 36)(10, 11)(13, 24, 37, 48)(14, 39, 38, 15)(16, 41)(17, 40)(18, 43, 42, 19)(28, 
        30)(29, 44)(34, 35)
}
>;

=<9,[66]>=

PermutationGroup<48|
{
    (2, 24, 30, 16)(3, 18, 44, 22)(4, 23, 45, 12)(5, 29)(6, 40, 26, 48)(7, 38, 35, 41)(8, 39)(9, 13)(11, 17, 31, 14)(15, 32)(19, 43)(20, 46,
        27, 42)(21, 36, 28, 47)(33, 37),
    (2, 38)(3, 18, 27, 42)(4, 47)(5, 29)(6, 17, 30, 41)(7, 48)(8, 37, 32, 13)(9, 39, 33, 15)(10, 34)(11, 16, 35, 40)(12, 45, 36, 21)(14, 
        26)(20, 46)(22, 44)(23, 28)(24, 31),
    (4, 28)(7, 31)(8, 32)(10, 34)(11, 35)(12, 36)(13, 37)(17, 41)(19, 43)(21, 45)(22, 46)(24, 48),
    (7, 31)(9, 33)(11, 35)(12, 47, 36, 23)(13, 37)(14, 17, 38, 41)(16, 24, 40, 48)(18, 46, 42, 22),
    (12, 47)(14, 41)(16, 48)(17, 38)(18, 46)(22, 42)(23, 36)(24, 40),
    (5, 29)(6, 30)(8, 32)(9, 33)(11, 35)(12, 23)(13, 37)(14, 41)(15, 39)(16, 48)(17, 38)(18, 46)(19, 43)(20, 44)(21, 45)(22, 42)(24, 40)(36,
        47),
    (3, 27)(4, 28)(5, 29)(7, 31)(8, 32)(10, 34)(11, 35)(13, 37)(14, 38)(17, 41)(20, 44)(21, 45),
    (12, 23)(14, 17)(16, 24)(18, 22)(36, 47)(38, 41)(40, 48)(42, 46),
    (6, 30)(8, 32)(9, 33)(10, 34)(11, 35)(12, 47, 36, 23)(14, 41, 38, 17)(16, 24, 40, 48)(18, 22, 42, 46)(19, 43)(20, 44)(21, 45),
    (1, 11, 5, 26, 25, 35, 29, 2)(3, 32, 28, 37, 27, 8, 4, 13)(6, 10, 7, 19, 30, 34, 31, 43)(9, 20, 39, 45, 33, 44, 15, 21)(12, 24, 22, 17, 
        36, 48, 46, 41)(14, 23, 40, 18, 38, 47, 16, 42)
}
>;

=<9,[67]>=

PermutationGroup<48|
{
    (7, 31)(9, 35)(11, 33)(12, 36)(13, 48)(14, 15)(17, 41)(18, 42)(19, 20)(24, 37)(38, 39)(43, 44),
    (1, 33, 26, 44)(2, 20, 25, 9)(3, 42, 41, 28)(4, 27, 18, 17)(5, 39, 22, 24)(6, 7, 36, 16)(8, 19, 21, 35)(10, 13, 47, 14)(11, 32, 43, 
        45)(12, 40, 30, 31)(15, 46, 48, 29)(23, 38, 34, 37),
    (4, 12)(5, 29)(6, 42)(8, 32)(11, 20)(14, 24)(16, 40)(17, 41)(18, 30)(21, 45)(22, 46)(28, 36)(35, 44)(38, 48),
    (9, 39)(11, 38)(13, 43)(14, 35)(15, 33)(19, 37)(20, 48)(24, 44),
    (9, 14)(11, 15)(13, 20)(19, 24)(33, 38)(35, 39)(37, 44)(43, 48),
    (3, 11, 12, 9)(4, 19, 7, 20)(5, 29)(6, 39, 41, 14)(8, 34, 32, 10)(13, 16, 48, 42)(15, 17, 38, 30)(18, 37, 40, 24)(21, 47, 45, 23)(22, 
        46)(27, 35, 36, 33)(28, 43, 31, 44),
    (9, 15)(11, 14)(13, 19)(20, 24)(33, 39)(35, 38)(37, 43)(44, 48),
    (6, 30)(8, 32)(9, 39, 33, 15)(10, 34)(11, 38, 35, 14)(13, 19, 37, 43)(16, 40)(17, 41)(18, 42)(20, 48, 44, 24)(21, 45)(23, 47),
    (9, 44)(11, 43)(13, 38)(14, 37)(15, 48)(19, 35)(20, 33)(24, 39),
    (2, 21)(3, 42, 41, 28)(4, 27, 18, 17)(5, 29)(6, 40, 12, 7)(9, 20, 43, 11)(10, 34)(13, 38, 39, 48)(14, 15, 24, 37)(16, 36, 31, 30)(19, 
        35, 33, 44)(22, 47)(23, 46)(26, 45),
    (5, 29)(6, 30)(7, 31)(8, 32)(9, 37)(11, 48)(12, 36)(13, 33)(14, 20)(15, 19)(16, 40)(21, 45)(22, 46)(24, 35)(38, 44)(39, 43)
}
>;

=<9,[68]>=

PermutationGroup<48|
{
    (1, 37)(5, 39)(8, 43)(9, 34)(10, 33)(13, 25)(15, 29)(19, 32),
    (9, 11)(13, 24)(14, 15)(19, 20)(33, 35)(37, 48)(38, 39)(43, 44),
    (2, 15, 3, 12, 26, 39, 27, 36)(4, 21, 13, 40, 28, 45, 37, 16)(5, 32, 29, 8)(6, 23, 43, 17, 30, 47, 19, 41)(7, 42, 22, 33, 31, 18, 46, 
        9)(10, 34)(14, 20, 38, 44)(24, 48),
    (4, 13, 28, 37)(5, 34, 29, 10)(6, 43, 30, 19)(7, 41, 31, 17)(8, 32)(9, 36)(11, 38, 35, 14)(12, 33)(15, 18)(16, 40)(21, 45)(22, 47, 46, 
        23)(24, 48)(39, 42),
    (7, 31)(9, 11, 33, 35)(10, 34)(13, 48, 37, 24)(14, 15, 38, 39)(18, 42)(19, 44, 43, 20)(22, 46),
    (6, 30)(7, 31)(8, 32)(9, 11, 33, 35)(13, 24, 37, 48)(14, 39, 38, 15)(16, 40)(17, 41)(19, 44, 43, 20)(21, 45)(22, 46)(23, 47),
    (9, 33)(11, 35)(13, 37)(14, 38)(15, 39)(19, 43)(20, 44)(24, 48),
    (1, 32)(2, 24)(3, 16)(4, 30)(5, 29)(6, 28)(7, 31)(8, 25)(11, 46)(12, 36)(13, 43)(14, 23)(15, 39)(19, 37)(20, 21)(22, 35)(26, 48)(27, 
        40)(38, 47)(44, 45),
    (5, 34)(6, 30)(7, 17)(8, 32)(9, 38, 33, 14)(10, 29)(11, 15, 35, 39)(12, 42)(13, 24, 37, 48)(16, 40)(18, 36)(19, 44, 43, 20)(21, 45)(22, 
        23)(31, 41)(46, 47),
    (3, 6, 19)(4, 13, 16)(5, 10)(7, 12, 9, 17, 18, 15)(11, 14)(22, 23)(27, 30, 43)(28, 37, 40)(29, 34)(31, 36, 33, 41, 42, 39)(35, 38)(46, 
        47)
}
>;

=<9,[69]>=

PermutationGroup<48|
{
    (9, 43)(11, 44)(12, 42)(13, 39)(15, 37)(16, 41)(17, 40)(18, 36)(19, 33)(20, 35)(22, 47)(23, 46),
    (4, 12)(5, 29)(6, 18)(9, 15, 33, 39)(10, 34)(11, 24, 35, 48)(13, 43, 37, 19)(14, 44, 38, 20)(22, 46)(23, 47)(28, 36)(30, 42),
    (6, 30)(7, 31)(8, 32)(9, 19, 33, 43)(10, 34)(11, 20, 35, 44)(13, 39, 37, 15)(14, 48, 38, 24)(17, 41)(18, 42)(21, 45)(22, 46),
    (25, 32)(26, 45)(27, 31)(28, 30)(29, 34)(33, 43)(35, 44)(36, 42)(37, 39)(38, 48)(40, 41)(46, 47),
    (1, 20, 30, 10, 14, 12, 32, 44, 28, 29, 38, 18)(2, 31, 39, 46, 40, 19, 26, 27, 13, 22, 41, 33)(3, 15, 47, 17, 43, 45, 7, 37, 23, 16, 9, 
        21)(4, 34, 24, 42, 8, 35, 6, 5, 48, 36, 25, 11),
    (12, 42, 18, 36)(14, 48, 24, 38)(16, 41, 17, 40)(22, 47, 23, 46)(25, 32)(26, 45)(27, 31)(28, 30)(29, 34)(33, 43)(35, 44)(37, 39),
    (5, 13, 10, 37, 29, 39)(6, 28, 30)(7, 27, 31)(8, 25, 32)(9, 33, 19)(11, 35, 20)(12, 41, 36, 16, 42, 40)(14, 47)(15, 34)(17, 18)(21, 26, 
        45)(22, 24, 23, 48, 46, 38),
    (4, 30)(5, 34)(7, 27)(8, 25)(11, 44)(12, 42)(14, 48)(15, 37)(17, 40)(19, 33)(21, 26)(23, 46),
    (5, 34, 10, 29)(9, 19)(11, 20)(12, 18)(13, 37, 15, 39)(14, 48, 24, 38)(16, 17)(22, 46, 23, 47)(25, 32)(26, 45)(27, 31)(28, 30),
    (2, 16, 45, 40, 26, 17)(3, 44, 30, 47, 36, 14, 7, 11, 6, 46, 18, 38)(4, 23, 42, 48, 31, 20, 28, 22, 12, 24, 27, 35)(5, 43, 15, 10, 9, 
        39)(8, 32, 25)(13, 29, 33, 37, 34, 19)(21, 41),
    (3, 6)(4, 7)(5, 13)(10, 15)(12, 18)(14, 23)(16, 17)(22, 24)(27, 30)(28, 31)(29, 37)(34, 39)(36, 42)(38, 47)(40, 41)(46, 48)
}
>;

=<9,[1109]>=

PermutationGroup<48|
{
    (1, 7, 29, 34)(2, 8)(3, 11, 46, 47)(4, 19)(5, 10, 25, 31)(6, 38)(9, 24)(12, 17)(13, 44)(14, 30)(15, 45)(16, 42)(18, 40)(20, 37)(21, 
        39)(22, 23, 27, 35)(26, 32)(28, 43)(33, 48)(36, 41),
    (6, 8, 30, 32)(7, 31)(9, 42, 33, 18)(10, 34)(11, 47)(12, 39, 36, 15)(13, 19, 37, 43)(14, 38)(16, 45)(17, 24)(20, 44)(21, 40)(23, 35)(41,
        48),
    (9, 33)(12, 36)(15, 39)(16, 40)(17, 41)(18, 42)(21, 45)(24, 48),
    (3, 7)(4, 14)(6, 48)(8, 41)(9, 42)(10, 22)(11, 47)(13, 21)(16, 19)(17, 32)(18, 33)(23, 35)(24, 30)(27, 31)(28, 38)(34, 46)(37, 45)(40, 
        43),
    (11, 35)(12, 36)(13, 37)(15, 39)(17, 41)(19, 43)(23, 47)(24, 48),
    (5, 29)(6, 32)(7, 31)(8, 30)(9, 42)(11, 23, 35, 47)(12, 39, 36, 15)(13, 43, 37, 19)(14, 38)(16, 21)(17, 48, 41, 24)(18, 33)(22, 46)(40, 
        45),
    (2, 8, 38, 6)(3, 35, 22, 47)(4, 37, 44, 43)(7, 34)(9, 18, 15, 12)(10, 31)(11, 46, 23, 27)(13, 20, 19, 28)(14, 30, 26, 32)(16, 48, 41, 
        21)(17, 45, 40, 24)(33, 42, 39, 36),
    (7, 31)(8, 32)(10, 34)(12, 36)(13, 37)(14, 38)(18, 42)(20, 44)
}
>;

=<9,[1712]>=

PermutationGroup<48|
{
    (18, 34, 42, 26)(19, 35, 43, 27)(20, 36, 44, 28)(22, 38, 46, 30)(23, 39, 47, 31)(24, 40, 48, 32)(25, 33)(29, 37),
    (1, 8)(2, 7)(3, 13)(4, 14)(5, 11)(6, 12)(9, 16)(10, 15)(18, 20)(19, 24)(22, 23)(25, 33)(26, 36)(27, 40)(28, 34)(29, 37)(30, 39)(31, 
        38)(32, 35)(42, 44)(43, 48)(46, 47),
    (5, 8)(6, 7)(13, 16)(14, 15)(17, 41, 33)(18, 26, 42)(19, 27, 43)(20, 32, 44, 24, 28, 48)(21, 45, 37)(30, 38, 46)(31, 39, 47)(36, 40),
    (22, 38)(23, 39)(25, 41)(26, 42)(27, 43)(28, 44)(29, 45)(32, 48),
    (2, 9)(3, 5)(4, 13)(6, 11)(8, 15)(12, 14)(17, 22)(18, 36, 26, 20, 34, 28)(19, 35, 27)(21, 23)(24, 40, 32)(25, 38, 41, 30, 33, 46)(29, 
        39, 45, 31, 37, 47)(42, 44),
    (25, 33)(26, 34)(27, 35)(28, 36)(29, 37)(30, 38)(31, 39)(32, 40),
    (17, 41, 25)(18, 34, 42)(19, 35, 43)(20, 36, 44)(21, 45, 29)(24, 40, 48)(30, 46, 38)(31, 47, 39),
    (3, 15)(4, 16)(7, 11)(8, 12)(18, 40)(19, 35)(20, 36)(22, 38)(23, 39)(24, 34)(26, 48)(27, 43)(28, 44)(30, 46)(31, 47)(32, 42)
}
>;

=<9,[1714]>=

PermutationGroup<48|
{
    (3, 8)(4, 7)(11, 16)(12, 15)(17, 41, 33, 25)(18, 34)(19, 36)(20, 35)(21, 45, 37, 29)(22, 46, 38, 30)(23, 47, 39, 31)(24, 40)(27, 28)(43,
        44),
    (2, 11, 5, 7)(3, 8, 12, 15)(4, 14, 16, 9)(6, 13)(17, 48, 30, 18, 41, 32, 22, 42, 25, 24, 46, 26)(19, 45, 27, 21, 43, 29)(20, 47, 28, 23,
        44, 31)(33, 40, 38, 34)(35, 37)(36, 39),
    (25, 41, 33)(26, 42, 34)(27, 43, 35)(28, 44, 36)(29, 45, 37)(30, 46, 38)(31, 47, 39)(32, 48, 40),
    (17, 33, 25, 41)(18, 42, 26, 34)(19, 43, 27, 35)(20, 44, 28, 36)(21, 37, 29, 45)(22, 38, 30, 46)(23, 39, 31, 47)(24, 48, 32, 40),
    (33, 41)(34, 42)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40, 48),
    (18, 34)(19, 35)(20, 36)(24, 40)(26, 42)(27, 43)(28, 44)(32, 48),
    (5, 14)(6, 13)(7, 16)(8, 15)(17, 39, 41, 31)(18, 19)(20, 24)(21, 38, 45, 30)(22, 37, 46, 29)(23, 33, 47, 25)(26, 35)(27, 34)(28, 40)(32,
        36)(42, 43)(44, 48),
    (1, 11)(2, 8)(3, 5)(4, 10)(6, 16)(7, 13)(9, 15)(12, 14)(21, 23)(29, 31)(37, 39)(45, 47)
}
>;

=<9,[1716]>=

PermutationGroup<48|
{
    (18, 40, 26, 48)(19, 36, 27, 44)(20, 35, 28, 43)(24, 34, 32, 42)(33, 41)(37, 45)(38, 46)(39, 47),
    (1, 25, 42, 7, 30, 18)(2, 33, 44, 8, 38, 20)(3, 41, 48, 5, 46, 24)(4, 17, 43, 6, 22, 19)(9, 47, 40, 15, 45, 32)(10, 23, 35, 16, 21, 
        27)(11, 31, 34, 13, 29, 26)(12, 39, 36, 14, 37, 28),
    (17, 46)(18, 27)(19, 26)(20, 32)(21, 47)(22, 41)(23, 45)(24, 28)(25, 38)(29, 39)(30, 33)(31, 37)(34, 43)(35, 42)(36, 48)(40, 44),
    (18, 19)(20, 24)(26, 27)(28, 32)(34, 35)(36, 40)(42, 43)(44, 48),
    (33, 41)(34, 42)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40, 48),
    (2, 13, 3, 7, 4, 11)(5, 6, 10, 12, 14, 15)(8, 16, 9)(17, 26, 31, 35, 21, 28, 25, 34, 23, 27, 29, 36)(18, 39, 43, 45, 20, 33, 42, 47, 19,
        37, 44, 41)(22, 32, 30, 40)(24, 38, 48, 46),
    (5, 9, 15)(6, 10, 16)(7, 11, 13)(8, 12, 14)(17, 21)(18, 24, 19)(22, 23)(25, 45, 33, 29, 41, 37)(26, 48, 35)(27, 42, 40)(28, 44, 36)(30, 
        47, 38, 31, 46, 39)(32, 43, 34),
    (25, 41)(26, 42)(27, 43)(28, 44)(29, 45)(30, 46)(31, 47)(32, 48),
    (9, 15)(10, 16)(11, 13)(12, 14)(17, 33, 41, 25)(18, 32, 44, 35)(19, 26, 48, 36)(20, 27, 42, 40)(21, 37, 45, 29)(22, 38, 46, 30)(23, 39, 
        47, 31)(24, 28, 43, 34),
    (17, 39)(18, 26, 34, 42)(19, 27, 35, 43)(20, 28, 36, 44)(21, 38)(22, 37)(23, 33)(24, 32, 40, 48)(25, 31)(29, 30)(41, 47)(45, 46),
    (3, 4)(5, 10)(6, 9)(7, 11)(8, 12)(15, 16)(17, 37, 46, 31)(18, 34, 42, 26)(19, 36, 43, 28)(20, 35, 44, 27)(21, 38, 47, 25)(22, 39, 41, 
        29)(23, 33, 45, 30)(24, 40, 48, 32)
}
>;

=<9,[1960]>=

PermutationGroup<48|
{
    (1, 17, 4, 25)(2, 28, 3, 20)(5, 26)(6, 19)(7, 27)(8, 18)(9, 32, 12, 24)(10, 21, 11, 29)(13, 23)(14, 30)(15, 22)(16, 31)(33, 46, 42, 
        37)(34, 38, 41, 45)(35, 48, 44, 39)(36, 40, 43, 47),
    (17, 25)(20, 28)(21, 29)(24, 32)(33, 34)(35, 36)(37, 38)(39, 40)(41, 42)(43, 44)(45, 46)(47, 48),
    (5, 14)(6, 13)(7, 16)(8, 15)(17, 21)(18, 22)(19, 31)(20, 32)(23, 27)(24, 28)(25, 29)(26, 30)(33, 42)(34, 41)(35, 36)(39, 47)(40, 48)(43,
        44),
    (2, 12)(3, 9)(5, 6, 15, 16)(7, 14, 13, 8)(17, 28, 29, 24)(18, 27, 30, 23)(19, 22, 31, 26)(20, 21, 32, 25)(33, 40)(34, 39)(41, 48)(42, 
        47),
    (19, 27)(20, 28)(23, 31)(24, 32)(35, 36)(39, 40)(43, 44)(47, 48),
    (18, 26)(19, 27)(22, 30)(23, 31)(35, 36)(37, 38)(43, 44)(45, 46),
    (5, 15)(6, 16)(7, 13)(8, 14)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 34)(39, 40)(41, 42)(47, 48),
    (2, 3)(6, 7)(9, 12)(13, 16)(35, 43)(36, 44)(39, 47)(40, 48),
    (5, 7)(6, 8)(13, 15)(14, 16)(17, 20)(18, 27)(19, 26)(21, 24)(22, 31)(23, 30)(25, 28)(29, 32)(33, 47)(34, 48)(35, 36)(37, 38)(39, 41)(40,
        42)(43, 44)(45, 46),
    (1, 5)(2, 16, 9, 7)(3, 6, 12, 13)(4, 15)(8, 11)(10, 14)(17, 33)(18, 38)(19, 36, 31, 44)(20, 39, 32, 47)(21, 42)(22, 45)(23, 43, 27, 
        35)(24, 48, 28, 40)(25, 34)(26, 37)(29, 41)(30, 46)
}
>;

==================================
=<10,[16]>=

PermutationGroup<48|
{
    (2, 29, 22, 26, 5, 46)(3, 39, 33, 40, 19, 13)(4, 30, 28, 6)(7, 41)(8, 32)(9, 16, 43, 37, 27, 15)(10, 21, 23)(11, 38, 36, 48, 44, 18, 35,
        14, 12, 24, 20, 42)(17, 31)(34, 45, 47),
    (5, 29)(6, 30)(7, 31)(8, 32)(12, 36)(14, 38)(15, 39)(16, 40)(19, 43)(20, 44)(21, 45)(22, 46),
    (6, 30)(7, 31)(8, 32)(11, 35)(14, 38)(16, 40)(17, 41)(19, 43)(21, 45)(22, 46)(23, 47)(24, 48),
    (1, 10)(2, 21, 26, 45)(3, 48)(4, 30, 28, 6)(5, 23, 29, 47)(7, 41)(8, 46)(9, 13)(11, 40, 35, 16)(12, 15, 36, 39)(14, 20, 38, 44)(17, 
        31)(18, 19)(22, 32)(24, 27)(25, 34)(33, 37)(42, 43),
    (10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(17, 41)(20, 44)(22, 46),
    (3, 16, 27, 40)(4, 6, 28, 30)(5, 22, 29, 46)(7, 17)(8, 32)(9, 15, 33, 39)(10, 23, 34, 47)(11, 38, 35, 14)(12, 42)(13, 19)(18, 36)(20, 
        48)(21, 45)(24, 44)(31, 41)(37, 43),
    (5, 46)(6, 30)(7, 31)(8, 32)(9, 19, 33, 43)(10, 23)(11, 20, 35, 44)(12, 36)(13, 15, 37, 39)(14, 48, 38, 24)(16, 40)(21, 45)(22, 29)(34, 
        47),
    (9, 33)(10, 34)(12, 36)(15, 39)(17, 41)(19, 43)(22, 46)(24, 48),
    (4, 28)(6, 30)(11, 35)(12, 36)(14, 38)(18, 42)(20, 44)(24, 48),
    (7, 31)(10, 34)(11, 35)(13, 37)(15, 39)(18, 42)(19, 43)(22, 46)
}
>;

=<10,[17]>=

PermutationGroup<48|
{
    (5, 29)(7, 31)(9, 33)(10, 34)(11, 35)(12, 36)(14, 38)(15, 39)(17, 41)(18, 42)(22, 46)(23, 47),
    (1, 19, 25, 43)(2, 31)(3, 21, 27, 45)(4, 44)(5, 10)(6, 35, 30, 11)(7, 26)(8, 9)(12, 22, 36, 46)(13, 15, 37, 39)(14, 40, 38, 16)(17, 48, 
        41, 24)(18, 23, 42, 47)(20, 28)(29, 34)(32, 33),
    (6, 30)(8, 32)(9, 33)(12, 36)(13, 37)(14, 38)(16, 40)(18, 42)(19, 43)(21, 45)(22, 46)(23, 47),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(17, 41)(20, 44)(22, 46),
    (1, 11)(2, 38, 26, 14)(3, 37, 27, 13)(4, 46, 28, 22)(5, 42, 29, 18)(6, 45)(7, 17)(8, 24, 32, 48)(9, 40)(10, 36, 34, 12)(15, 43, 39, 
        19)(16, 33)(20, 47, 44, 23)(21, 30)(25, 35)(31, 41),
    (3, 27)(5, 29)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(23, 47),
    (2, 26)(3, 27)(7, 31)(16, 40)(17, 41)(21, 45)(22, 46)(23, 47),
    (7, 31)(9, 33)(11, 35)(13, 37)(14, 38)(16, 40)(22, 46)(23, 47),
    (1, 9, 25, 33)(2, 3, 26, 27)(4, 11)(5, 15, 29, 39)(6, 20)(7, 45, 31, 21)(8, 19, 32, 43)(10, 13, 34, 37)(12, 14)(16, 46, 40, 22)(17, 47, 
        41, 23)(18, 24)(28, 35)(30, 44)(36, 38)(42, 48),
    (4, 28)(5, 29)(6, 30)(7, 31)(9, 33)(10, 34)(12, 36)(14, 38)(15, 39)(16, 40)(18, 42)(20, 44)
}
>;

=<10,[18]>=

PermutationGroup<48|
{
    (3, 24)(4, 23, 28, 47)(5, 19, 29, 43)(6, 14)(7, 22, 31, 46)(8, 15, 32, 39)(9, 33)(10, 13, 34, 37)(11, 35)(12, 40)(16, 36)(17, 41)(18, 
        42)(20, 45, 44, 21)(27, 48)(30, 38),
    (1, 43)(2, 5)(4, 9, 28, 33)(6, 11, 30, 35)(7, 10, 31, 34)(8, 44)(13, 37)(14, 41, 38, 17)(16, 48, 40, 24)(18, 47, 42, 23)(19, 25)(20, 
        32)(22, 46)(26, 29),
    (2, 15, 23, 13, 34, 28, 8)(3, 30, 21, 20, 14, 24, 33)(4, 32, 26, 39, 47, 37, 10)(5, 31, 17, 46, 19, 36, 16)(6, 45, 44, 38, 48, 9, 27)(7,
        41, 22, 43, 12, 40, 29),
    (7, 31)(9, 33)(11, 35)(12, 36)(13, 37)(17, 41)(18, 42)(24, 48),
    (6, 30)(8, 32)(9, 33)(12, 36)(13, 37)(14, 38)(16, 40)(18, 42)(19, 43)(21, 45)(22, 46)(23, 47),
    (4, 28)(5, 29)(6, 30)(10, 34)(11, 35)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(20, 44)(24, 48),
    (9, 33)(11, 35)(13, 37)(14, 38)(15, 39)(19, 43)(20, 44)(24, 48),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (5, 29)(6, 30)(8, 32)(12, 36)(14, 38)(21, 45)(23, 47)(24, 48),
    (3, 27)(9, 33)(10, 34)(11, 35)(16, 40)(17, 41)(18, 42)(22, 46)
}
>;

=<10,[19]>=

PermutationGroup<48|
{
    (7, 31)(9, 35)(11, 33)(12, 36)(13, 48)(14, 15)(17, 41)(18, 42)(19, 20)(24, 37)(38, 39)(43, 44),
    (9, 11)(13, 24)(14, 15)(19, 20)(33, 35)(37, 48)(38, 39)(43, 44),
    (5, 29)(6, 30)(8, 32)(16, 40)(17, 41)(18, 42)(21, 45)(22, 46),
    (6, 30)(8, 32)(10, 34)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(21, 45)(23, 47)(24, 48),
    (3, 6)(4, 40)(5, 29)(7, 18)(8, 32)(10, 34)(12, 17)(13, 37)(16, 28)(21, 45)(24, 48)(27, 30)(31, 42)(36, 41),
    (10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(17, 41)(20, 44)(22, 46),
    (3, 40)(4, 6)(7, 17)(9, 48, 33, 24)(11, 13, 35, 37)(12, 42)(14, 43, 38, 19)(15, 20, 39, 44)(16, 27)(18, 36)(28, 30)(31, 41),
    (4, 28)(8, 32)(14, 38)(15, 39)(16, 40)(21, 45)(22, 46)(23, 47),
    (1, 39, 45, 14, 25, 15, 21, 38)(2, 24, 32, 37, 26, 48, 8, 13)(3, 12, 27, 36)(4, 40)(5, 33, 47, 11, 29, 9, 23, 35)(6, 17, 30, 41)(7, 
        42)(10, 43, 22, 44, 34, 19, 46, 20)(16, 28)(18, 31),
    (2, 22)(3, 33, 6, 11, 27, 9, 30, 35)(4, 24, 40, 13, 28, 48, 16, 37)(5, 29)(7, 43, 18, 20, 31, 19, 42, 44)(8, 10)(12, 38, 41, 39, 36, 14,
        17, 15)(23, 47)(26, 46)(32, 34)
}
>;

=<10,[20]>=

PermutationGroup<48|
{
    (1, 19, 29, 37, 25, 43, 5, 13)(2, 20, 23, 38)(3, 42, 40, 30, 27, 18, 16, 6)(4, 7, 12, 17, 28, 31, 36, 41)(8, 9, 10, 15, 32, 33, 34, 
        39)(11, 46, 24, 21)(14, 26, 44, 47)(22, 48, 45, 35),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (9, 19)(11, 20)(12, 36)(13, 15)(14, 48)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 38)(33, 43)(35, 44)(37, 39),
    (9, 33)(11, 35)(13, 37)(14, 38)(15, 39)(19, 43)(20, 44)(24, 48),
    (3, 7)(5, 29)(10, 34)(11, 20)(13, 37)(14, 48)(15, 39)(16, 17)(22, 46)(23, 47)(24, 38)(27, 31)(35, 44)(40, 41),
    (7, 31)(9, 19, 33, 43)(11, 20, 35, 44)(13, 15, 37, 39)(14, 24, 38, 48)(16, 40)(22, 46)(23, 47),
    (5, 29)(9, 33)(10, 34)(11, 35)(12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(24, 48),
    (3, 16, 27, 40)(4, 18, 28, 42)(6, 12, 30, 36)(7, 17, 31, 41)(9, 33)(11, 44)(13, 37)(14, 24)(15, 39)(19, 43)(20, 35)(22, 46)(23, 47)(38, 
        48),
    (6, 30)(8, 32)(9, 19)(10, 34)(11, 20)(13, 39)(14, 48)(15, 37)(16, 40)(17, 41)(18, 42)(21, 45)(23, 47)(24, 38)(33, 43)(35, 44),
    (4, 12, 28, 36)(5, 29)(6, 18, 30, 42)(9, 15, 33, 39)(10, 34)(11, 24)(13, 43, 37, 19)(14, 20)(16, 40)(17, 41)(35, 48)(38, 44),
    (1, 30, 29, 42, 25, 6, 5, 18)(2, 21, 26, 45)(3, 15, 16, 33, 27, 39, 40, 9)(4, 34, 12, 32, 28, 10, 36, 8)(7, 13, 17, 43, 31, 37, 41, 
        19)(11, 20)(14, 24)(22, 47, 46, 23)(35, 44)(38, 48),
    (2, 4, 26, 28)(3, 35)(6, 45, 30, 21)(7, 20)(9, 33)(11, 27)(12, 22)(13, 37)(14, 16, 38, 40)(17, 24, 41, 48)(18, 23)(31, 44)(36, 46)(42, 
        47)
}
>;

=<10,[21]>=

PermutationGroup<48|
{
    (4, 45, 14, 35, 44, 16, 37)(5, 46, 34, 12, 41, 23, 6)(7, 32, 24, 33, 43, 18, 39)(8, 48, 9, 19, 42, 15, 31)(10, 36, 17, 47, 30, 29, 
        22)(11, 20, 40, 13, 28, 21, 38),
    (9, 11)(13, 15)(14, 24)(19, 20)(33, 35)(37, 39)(38, 48)(43, 44),
    (5, 29)(8, 32)(9, 35)(10, 34)(11, 33)(12, 36)(13, 39)(14, 48)(15, 37)(17, 41)(19, 20)(21, 45)(24, 38)(43, 44),
    (2, 26)(4, 16, 28, 40)(5, 47)(7, 42, 31, 18)(9, 20)(10, 46)(11, 43)(13, 39, 37, 15)(14, 24, 38, 48)(19, 35)(21, 45)(22, 34)(23, 29)(33, 
        44),
    (8, 35, 32, 11)(9, 21, 33, 45)(12, 47)(13, 37)(14, 42, 38, 18)(15, 39)(16, 24, 40, 48)(17, 46)(19, 43)(20, 44)(22, 41)(23, 36),
    (3, 46, 36, 17, 27, 22, 12, 41)(4, 28)(5, 23, 6, 34, 29, 47, 30, 10)(7, 31)(8, 39, 16, 20, 32, 15, 40, 44)(9, 14)(11, 24)(13, 42, 43, 
        21, 37, 18, 19, 45)(33, 38)(35, 48),
    (1, 21, 26, 32)(2, 8, 25, 45)(4, 14, 40, 15, 28, 38, 16, 39)(5, 23, 34, 22)(6, 30)(7, 24, 42, 13, 31, 48, 18, 37)(10, 46, 29, 47)(12, 
        17, 36, 41)(19, 20)(43, 44),
    (6, 41)(8, 21)(9, 37, 11, 39)(10, 47)(13, 35, 15, 33)(14, 19, 24, 20)(16, 18)(17, 30)(23, 34)(32, 45)(38, 43, 48, 44)(40, 42),
    (5, 22, 41)(8, 43, 35)(9, 45, 20)(10, 23, 36)(11, 32, 19)(12, 34, 47)(13, 24, 16)(14, 18, 15)(17, 29, 46)(21, 44, 33)(37, 48, 40)(38, 
        42, 39),
    (9, 35)(11, 33)(13, 39)(14, 48)(15, 37)(19, 44)(20, 43)(24, 38),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (8, 32)(9, 35)(11, 33)(13, 15)(14, 48)(16, 40)(18, 42)(19, 20)(21, 45)(24, 38)(37, 39)(43, 44)
}
>;

=<10,[22]>=

PermutationGroup<48|
{
    (3, 12, 27, 36)(4, 18, 28, 42)(5, 34, 29, 10)(6, 41, 30, 17)(7, 40, 31, 16)(9, 19)(11, 20)(13, 39, 37, 15)(14, 48, 38, 24)(22, 47, 46, 
        23)(33, 43)(35, 44),
    (6, 30)(7, 31)(8, 45)(9, 35)(10, 34)(11, 33)(12, 41, 36, 17)(14, 48, 38, 24)(15, 39)(16, 42, 40, 18)(21, 32)(22, 23, 46, 47),
    (4, 7)(5, 34)(8, 21)(10, 29)(12, 17)(13, 37)(14, 48)(15, 39)(19, 20)(22, 46)(23, 47)(24, 38)(28, 31)(32, 45)(36, 41)(43, 44),
    (8, 21)(9, 11)(12, 41)(14, 48)(16, 42)(17, 36)(18, 40)(22, 47)(23, 46)(24, 38)(32, 45)(33, 35),
    (5, 34)(8, 21)(10, 29)(12, 17)(13, 39)(14, 38)(15, 37)(16, 18)(19, 20)(22, 46)(23, 47)(24, 48)(32, 45)(36, 41)(40, 42)(43, 44),
    (5, 36, 10, 17)(6, 30)(7, 31)(8, 43, 21, 44)(9, 11)(12, 34, 41, 29)(13, 18, 15, 40)(14, 48, 38, 24)(16, 37, 42, 39)(19, 45, 20, 32)(22, 
        47, 46, 23)(33, 35),
    (2, 32, 45)(3, 17, 36)(4, 15, 18, 48, 40, 37)(5, 47, 34)(7, 38)(8, 21, 26)(10, 29, 23)(11, 44, 43)(12, 27, 41)(13, 28, 39, 42, 24, 
        16)(14, 31)(19, 35, 20),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (9, 33)(11, 35)(12, 36)(13, 37)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(22, 46)(23, 47),
    (8, 35, 32, 11)(9, 21, 33, 45)(12, 22)(13, 37)(14, 18, 38, 42)(15, 39)(16, 48, 40, 24)(17, 23)(19, 43)(20, 44)(36, 46)(41, 47),
    (3, 42, 29, 24, 27, 18, 5, 48)(4, 36, 13, 23, 28, 12, 37, 47)(6, 16, 34, 38, 30, 40, 10, 14)(7, 17, 15, 46, 31, 41, 39, 22)(8, 33, 32, 
        9)(11, 21, 35, 45)(19, 43)(20, 44),
    (1, 6, 18, 32, 10, 37, 25, 30, 42, 8, 34, 13)(2, 36, 15, 45, 47, 40, 26, 12, 39, 21, 23, 16)(3, 7, 19, 29, 14, 35, 27, 31, 43, 5, 38, 
        11)(4, 33, 17, 48, 44, 46, 28, 9, 41, 24, 20, 22),
    (4, 48, 42, 39, 28, 24, 18, 15)(5, 46, 34, 47)(6, 30)(7, 14, 40, 13, 31, 38, 16, 37)(8, 45)(9, 20, 35, 43)(10, 23, 29, 22)(11, 19, 33, 
        44)(12, 17, 36, 41)(21, 32)
}
>;

=<10,[549]>=

PermutationGroup<48|
{
    (7, 31)(8, 32)(10, 34)(12, 36)(13, 37)(14, 38)(17, 41)(19, 43),
    (9, 33)(12, 36)(15, 39)(16, 40)(19, 43)(20, 44)(21, 45)(24, 48),
    (6, 18)(7, 10)(8, 13)(11, 23)(16, 24)(20, 21)(30, 42)(31, 34)(32, 37)(35, 47)(40, 48)(44, 45),
    (3, 27)(4, 28)(6, 13)(7, 34)(8, 42)(9, 19, 33, 43)(10, 31)(12, 39, 36, 15)(16, 20, 40, 44)(17, 41)(18, 32)(21, 24, 45, 48)(22, 46)(30, 
        37),
    (2, 37, 26, 13)(3, 7, 27, 31)(4, 42)(6, 14)(8, 41, 32, 17)(9, 40, 33, 16)(10, 46, 34, 22)(11, 35)(12, 44)(15, 21)(18, 28)(19, 24, 43, 
        48)(20, 36)(23, 47)(30, 38)(39, 45),
    (6, 37)(7, 10)(8, 42)(9, 19, 33, 43)(11, 35)(12, 39, 36, 15)(13, 30)(14, 38)(16, 20, 40, 44)(17, 41)(18, 32)(21, 48, 45, 24)(23, 47)(31,
        34),
    (13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44),
    (11, 35)(12, 36)(13, 37)(15, 39)(18, 42)(20, 44)(23, 47)(24, 48),
    (5, 29)(6, 8)(7, 31)(9, 19)(11, 47, 35, 23)(12, 39, 36, 15)(13, 42, 37, 18)(14, 38)(16, 21)(20, 24, 44, 48)(22, 46)(30, 32)(33, 43)(40, 
        45),
    (1, 7)(2, 43)(3, 35)(4, 15)(5, 10)(9, 41)(11, 27)(12, 14)(17, 33)(19, 26)(22, 47)(23, 46)(25, 31)(28, 39)(29, 34)(36, 38)
}
>;

=<10,[550]>=

PermutationGroup<48|
{
    (7, 31)(8, 32)(10, 34)(12, 36)(15, 39)(16, 40)(18, 42)(20, 44),
    (5, 29)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(14, 38)(18, 42)(19, 43)(21, 45)(22, 46),
    (3, 28)(4, 27)(5, 23, 29, 47)(6, 30)(7, 39, 31, 15)(8, 20)(10, 34)(11, 35)(13, 48)(14, 41, 38, 17)(19, 22, 43, 46)(21, 45)(24, 37)(32, 
        44),
    (3, 27)(4, 28)(6, 30)(7, 31)(9, 33)(11, 35)(14, 38)(15, 39)(18, 42)(20, 44)(23, 47)(24, 48),
    (9, 33)(10, 34)(11, 35)(12, 36)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48),
    (2, 14)(3, 27)(4, 29)(5, 28)(6, 24)(7, 36)(9, 42, 33, 18)(10, 13, 34, 37)(11, 17)(12, 31)(15, 21, 39, 45)(16, 40)(19, 43)(20, 46, 44, 
        22)(23, 47)(26, 38)(30, 48)(35, 41),
    (10, 34)(12, 36)(13, 37)(16, 40)(18, 42)(19, 43)(22, 46)(24, 48),
    (1, 27, 26, 4)(2, 28, 25, 3)(5, 23, 14, 41)(6, 22, 16, 19, 30, 46, 40, 43)(7, 21, 39, 18, 31, 45, 15, 42)(8, 24, 37, 44)(9, 12, 33, 
        36)(11, 35)(13, 20, 32, 48)(17, 29, 47, 38),
    (6, 30)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(13, 37)(16, 40)(17, 41)(19, 43)(22, 46)(23, 47),
    (11, 35)(12, 36)(13, 37)(15, 39)(17, 41)(19, 43)(23, 47)(24, 48)
}
>;

=<10,[554]>=

PermutationGroup<48|
{
    (5, 30)(6, 29)(7, 8)(9, 43, 23, 38, 33, 19, 47, 14)(10, 16, 48, 17, 34, 40, 24, 41)(11, 18, 45, 39, 35, 42, 21, 15)(12, 37, 22, 20, 36, 
        13, 46, 44)(31, 32),
    (2, 26)(4, 28)(6, 30)(7, 31)(13, 16)(14, 39)(15, 38)(17, 20)(18, 19)(22, 46)(24, 48)(37, 40)(41, 44)(42, 43),
    (11, 35)(12, 36)(13, 16, 37, 40)(14, 39, 38, 15)(17, 20, 41, 44)(18, 43, 42, 19)(23, 47)(24, 48),
    (10, 48)(12, 46)(14, 43)(15, 42)(18, 39)(19, 38)(22, 36)(24, 34),
    (5, 29)(6, 30)(7, 31)(8, 32)(10, 24)(11, 35)(12, 46)(13, 37)(14, 19)(15, 42)(18, 39)(20, 44)(21, 45)(22, 36)(34, 48)(38, 43),
    (9, 35)(10, 36)(11, 33)(12, 34)(13, 40)(14, 39)(15, 38)(16, 37)(17, 44)(18, 43)(19, 42)(20, 41)(21, 47)(22, 48)(23, 45)(24, 46),
    (3, 7, 27, 31)(4, 8, 28, 32)(9, 33)(10, 36)(11, 35)(12, 34)(14, 43, 38, 19)(15, 18, 39, 42)(16, 40)(17, 41)(21, 45)(22, 24)(23, 47)(46, 
        48),
    (2, 29, 26, 5)(3, 23, 7, 45, 27, 47, 31, 21)(4, 35, 32, 33, 28, 11, 8, 9)(6, 30)(10, 12, 24, 46)(13, 16)(14, 39)(15, 38)(18, 19)(22, 34,
        36, 48)(37, 40)(42, 43),
    (9, 45)(10, 12, 34, 36)(11, 23)(13, 17)(14, 15, 38, 39)(16, 44)(18, 19, 42, 43)(20, 40)(21, 33)(22, 24, 46, 48)(35, 47)(37, 41),
    (1, 3, 22, 19, 44, 21)(2, 7, 12, 42, 13, 33)(4, 10, 14, 17, 35, 29)(5, 28, 34, 38, 41, 11)(6, 32, 48, 15, 16, 47)(8, 24, 39, 40, 23, 
        30)(9, 26, 31, 36, 18, 37)(20, 45, 25, 27, 46, 43),
    (7, 31)(8, 32)(9, 33)(10, 48, 34, 24)(11, 35)(12, 46, 36, 22)(13, 16, 37, 40)(14, 42)(15, 19)(17, 44, 41, 20)(18, 38)(21, 45)(23, 
        47)(39, 43),
    (13, 40)(14, 39)(15, 38)(16, 37)(17, 44)(18, 43)(19, 42)(20, 41),
    (7, 32)(8, 31)(9, 47, 45, 11)(10, 41, 12, 16)(13, 24, 44, 22)(15, 19)(17, 36, 40, 34)(20, 46, 37, 48)(21, 35, 33, 23)(39, 43),
    (13, 16)(14, 15)(17, 20)(18, 19)(37, 40)(38, 39)(41, 44)(42, 43)
}
>;

=<10,[1001]>=

PermutationGroup<48|
{
    (5, 15)(6, 16)(7, 13)(8, 14)(17, 39)(18, 43, 26, 35)(19, 34, 27, 42)(20, 40, 28, 48)(21, 46)(22, 45)(23, 33)(24, 44, 32, 36)(25, 47)(29,
        38)(30, 37)(31, 41),
    (2, 3)(5, 8)(9, 15)(10, 13)(11, 16)(12, 14)(17, 18)(19, 35)(20, 36)(21, 38)(22, 37)(23, 24)(25, 42)(26, 41)(29, 30)(31, 48)(32, 47)(33, 
        34)(39, 40)(45, 46),
    (17, 41)(19, 35)(20, 36)(21, 29)(22, 30)(23, 47)(25, 33)(27, 43)(28, 44)(31, 39)(37, 45)(38, 46),
    (19, 27, 43, 35)(20, 28, 44, 36)(21, 29, 45, 37)(22, 30, 46, 38)(25, 33)(26, 34)(31, 39)(32, 40),
    (25, 33, 41)(26, 34, 42)(27, 35, 43)(28, 36, 44)(29, 37, 45)(30, 38, 46)(31, 39, 47)(32, 40, 48),
    (33, 41)(34, 42)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40, 48),
    (9, 14)(10, 13)(11, 16)(12, 15)(17, 48)(18, 31, 26, 47, 34, 39)(19, 20)(21, 38, 29, 22, 37, 30)(23, 42)(24, 25, 32, 41, 40, 33)(27, 36, 
        43, 28, 35, 44)(45, 46),
    (3, 8, 14, 9)(4, 7, 13, 10)(5, 12)(6, 11)(17, 46, 28, 42, 33, 38, 36, 26, 41, 30, 20, 18)(19, 24, 23, 45, 27, 48, 39, 37, 35, 32, 47, 
        29)(21, 43, 40, 31)(22, 44, 34, 25),
    (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16),
    (17, 47, 25, 39)(18, 24)(19, 28)(20, 27)(21, 38, 29, 46)(22, 37, 30, 45)(23, 41, 31, 33)(26, 32)(34, 48)(35, 36)(40, 42)(43, 44),
    (18, 42, 34)(21, 45, 37)(22, 46, 38)(24, 48, 40)(25, 33, 41)(27, 35, 43)(28, 36, 44)(31, 39, 47)
}
>;

=<10,[1245]>=

PermutationGroup<48|
{
    (5, 6)(7, 8)(13, 14)(15, 16)(21, 22)(23, 24)(29, 30)(31, 32)(34, 35)(37, 40)(42, 43)(45, 48),
    (2, 5, 4, 7)(6, 8)(10, 13, 12, 15)(14, 16)(17, 22, 19, 24)(21, 23)(26, 29, 28, 31)(30, 32)(33, 43, 38, 48)(34, 47, 37, 44)(35, 40)(42, 
        45),
    (9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 42)(36, 43)(38, 45)(39, 48),
    (9, 14)(10, 13)(11, 16)(12, 15)(17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)(33, 43)(36, 42)(38, 48)(39, 45),
    (9, 12)(10, 11)(13, 16)(14, 15)(17, 20)(18, 19)(21, 24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31)(33, 39)(36, 38)(42, 48)(43, 45),
    (1, 9)(2, 10)(3, 16)(4, 15)(5, 13)(6, 14)(7, 12)(8, 11)(17, 43)(18, 42)(19, 38)(20, 39)(21, 36)(22, 33)(23, 45)(24, 48)(25, 41)(26, 
        44)(27, 40)(28, 37)(29, 34)(30, 35)(31, 47)(32, 46),
    (3, 8, 5)(4, 7, 6)(9, 15, 12)(10, 16, 11)(17, 20, 22)(18, 19, 21)(25, 31, 28)(26, 32, 27)(33, 39, 43)(34, 46, 40)(35, 47, 37)(36, 38, 
        42),
    (1, 25, 45)(2, 27, 48, 3, 26, 42)(4, 28, 43)(5, 32, 38, 8, 29, 36)(6, 30, 39)(7, 31, 33)(9, 23, 41)(10, 21, 44, 11, 24, 46)(12, 22, 
        47)(13, 18, 34, 16, 19, 40)(14, 20, 35)(15, 17, 37),
    (5, 7)(6, 8)(9, 10)(11, 12)(13, 16)(14, 15)(17, 18)(19, 20)(21, 24)(22, 23)(25, 26)(27, 28)(29, 32)(30, 31)(33, 36)(34, 37)(35, 40)(38, 
        39)(42, 48)(43, 45)
}
>;

=<10,[1246]>=

PermutationGroup<48|
{
    (17, 34)(18, 35)(19, 37)(20, 40)(21, 42)(22, 43)(23, 45)(24, 48)(25, 33)(26, 36)(27, 38)(28, 39)(29, 41)(30, 44)(31, 46)(32, 47),
    (9, 11)(10, 12)(13, 15)(14, 16)(17, 33)(18, 38)(19, 36)(20, 39)(21, 48)(22, 43)(23, 45)(24, 42)(25, 34)(26, 37)(27, 35)(28, 40)(29, 
        47)(30, 44)(31, 46)(32, 41),
    (3, 14, 6, 8, 11, 16, 9)(4, 13, 5, 7, 12, 15, 10)(17, 39, 19, 42, 18, 43, 24, 33, 20, 38, 21, 36, 22, 48)(23, 45)(25, 40, 27, 41, 26, 
        44, 32, 34, 28, 37, 29, 35, 30, 47)(31, 46),
    (1, 5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 16),
    (2, 12, 5, 4, 15, 13, 10)(3, 6, 9, 11, 16, 8, 14)(17, 30, 21, 24, 26, 31, 27)(18, 23, 19, 25, 22, 29, 32)(33, 44, 42, 48, 35, 46, 
        37)(34, 43, 41, 47, 36, 45, 38),
    (5, 13, 7, 15)(6, 14, 8, 16)(9, 11)(10, 12)(17, 47, 28, 41)(18, 38, 26, 37)(19, 35, 27, 36)(20, 42, 25, 48)(21, 34, 24, 39)(22, 43)(23, 
        46)(29, 33, 32, 40)(30, 44)(31, 45),
    (17, 25)(20, 28)(21, 29)(24, 32)(33, 34)(39, 40)(41, 42)(47, 48),
    (18, 26)(19, 27)(22, 30)(23, 31)(35, 36)(37, 38)(43, 44)(45, 46),
    (21, 29)(22, 30)(23, 31)(24, 32)(41, 42)(43, 44)(45, 46)(47, 48),
    (9, 14)(10, 13)(11, 16)(12, 15)(17, 33)(18, 47)(19, 41)(20, 39)(21, 37)(22, 43)(23, 45)(24, 35)(25, 34)(26, 48)(27, 42)(28, 40)(29, 
        38)(30, 44)(31, 46)(32, 36),
    (19, 27)(20, 28)(23, 31)(24, 32)(37, 38)(39, 40)(45, 46)(47, 48)
}
>;

=<10,[1247]>=

PermutationGroup<48|
{
    (33, 43)(34, 44)(35, 41)(36, 42)(37, 47)(38, 48)(39, 45)(40, 46),
    (17, 28, 27, 18)(19, 20, 25, 26)(21, 22, 31, 32)(23, 30, 29, 24)(33, 41)(34, 46)(35, 43)(36, 48)(37, 45)(38, 42)(39, 47)(40, 44),
    (33, 45)(34, 46)(35, 47)(36, 48)(37, 41)(38, 42)(39, 43)(40, 44),
    (3, 16, 9, 6)(4, 15, 10, 5)(7, 13)(8, 14)(17, 45, 25, 38)(18, 47, 22, 48)(19, 34, 27, 41)(20, 36, 24, 35)(21, 46, 29, 37)(23, 33, 31, 
        42)(26, 40, 30, 39)(28, 43, 32, 44),
    (18, 28)(20, 26)(22, 32)(24, 30)(33, 45)(34, 46)(35, 43)(36, 44)(37, 41)(38, 42)(39, 47)(40, 48),
    (1, 19, 13, 31)(2, 20)(3, 17, 5, 27)(4, 18, 10, 24)(6, 28, 16, 30)(7, 25, 11, 21)(8, 26)(9, 23, 15, 29)(12, 22)(14, 32)(34, 36, 38, 
        44)(35, 39, 47, 43)(37, 41)(40, 46, 48, 42),
    (3, 15, 9, 5)(4, 16, 10, 6)(7, 13)(8, 14)(17, 39, 18, 38, 29, 47, 30, 46)(19, 48, 20, 45, 31, 40, 32, 37)(21, 36, 22, 33, 25, 44, 26, 
        41)(23, 43, 24, 42, 27, 35, 28, 34),
    (33, 44)(34, 43)(35, 42)(36, 41)(37, 48)(38, 47)(39, 46)(40, 45),
    (17, 21, 27, 31)(18, 32, 28, 22)(19, 29, 25, 23)(20, 24, 26, 30)(33, 42, 37, 46)(34, 45, 38, 41)(35, 44, 39, 48)(36, 47, 40, 43),
    (2, 3, 4)(5, 6, 8)(9, 10, 12)(14, 15, 16)(17, 22, 28)(18, 27, 32)(20, 30, 23)(24, 29, 26)(33, 45)(34, 48, 39, 46, 36, 43)(35, 42, 40, 
        47, 38, 44)(37, 41),
    (33, 41)(34, 42)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40, 48),
    (5, 15)(6, 16)(7, 13)(8, 14)(17, 45, 30, 40)(18, 48, 29, 37)(19, 38, 32, 47)(20, 39, 31, 46)(21, 42, 26, 35)(22, 43, 25, 34)(23, 33, 28,
        44)(24, 36, 27, 41),
    (19, 25)(20, 26)(21, 31)(22, 32)(34, 38)(35, 39)(42, 46)(43, 47),
    (17, 20)(18, 25)(19, 28)(21, 30)(22, 23)(24, 31)(26, 27)(29, 32)(33, 47)(34, 44)(35, 45)(36, 42)(37, 43)(38, 48)(39, 41)(40, 46)
}
>;

==================================
=<11,[6]>=

PermutationGroup<48|
{
    (2, 28, 26, 4)(3, 11, 27, 35)(5, 29)(6, 45, 30, 21)(7, 20, 31, 44)(8, 32)(12, 22)(14, 40)(16, 38)(17, 48)(18, 47)(23, 42)(24, 41)(36, 
        46),
    (7, 31)(9, 33)(11, 35)(13, 37)(14, 38)(16, 40)(22, 46)(23, 47),
    (9, 33)(10, 34)(12, 36)(15, 39)(17, 41)(19, 43)(22, 46)(24, 48),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (3, 7)(4, 6)(5, 39)(10, 37)(12, 16)(13, 34)(14, 47)(15, 29)(17, 18)(22, 48)(23, 38)(24, 46)(27, 31)(28, 30)(36, 40)(41, 42),
    (5, 29)(6, 30)(8, 32)(12, 36)(14, 38)(21, 45)(23, 47)(24, 48),
    (1, 3, 10, 6, 9, 12)(2, 44, 23)(4, 43, 42, 32, 7, 5)(8, 31, 29, 28, 19, 18)(11, 46, 45, 35, 22, 21)(13, 17)(15, 40)(16, 39)(20, 47, 
        26)(24, 48)(25, 27, 34, 30, 33, 36)(37, 41),
    (3, 17, 36, 27, 41, 12)(4, 28)(5, 43, 15)(6, 30)(7, 40, 18, 31, 16, 42)(9, 13, 10)(11, 24, 46)(14, 47, 44)(19, 39, 29)(20, 38, 23)(22, 
        35, 48)(33, 37, 34),
    (10, 34)(11, 35)(13, 37)(16, 40)(18, 42)(20, 44)(23, 47)(24, 48),
    (4, 28)(7, 31)(8, 32)(14, 38)(19, 43)(20, 44)(21, 45)(24, 48),
    (6, 30)(8, 32)(9, 33)(10, 34)(11, 35)(12, 36)(14, 38)(19, 43)(20, 44)(21, 45)(22, 46)(24, 48)
}
>;

=<11,[7]>=

PermutationGroup<48|
{
    (1, 17, 33, 27, 25, 41, 9, 3)(2, 36, 35, 6, 26, 12, 11, 30)(4, 24, 39, 40)(5, 44, 22, 8, 29, 20, 46, 32)(7, 14, 37, 42)(10, 19, 23, 45, 
        34, 43, 47, 21)(13, 18, 31, 38)(15, 16, 28, 48),
    (9, 33)(11, 35)(12, 36)(13, 37)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44)(22, 46)(23, 47),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (6, 30)(8, 32)(10, 34)(12, 36)(13, 37)(15, 39)(21, 45)(22, 46),
    (8, 9, 32, 33)(11, 45, 35, 21)(12, 23)(13, 37)(14, 40, 38, 16)(15, 39)(17, 22)(18, 24, 42, 48)(19, 43)(20, 44)(36, 47)(41, 46),
    (4, 18, 28, 42)(5, 23, 29, 47)(6, 30)(7, 40, 31, 16)(9, 44)(10, 46, 34, 22)(11, 43)(12, 36)(13, 37)(14, 38)(19, 35)(20, 33),
    (7, 31)(8, 33, 32, 9)(11, 21, 35, 45)(12, 23, 36, 47)(13, 37)(14, 16)(17, 22, 41, 46)(18, 48)(24, 42)(38, 40),
    (4, 40, 28, 16)(5, 34)(7, 42, 31, 18)(8, 32)(9, 35)(10, 29)(11, 33)(13, 24, 37, 48)(14, 39, 38, 15)(19, 20)(21, 45)(22, 47)(23, 46)(43, 
        44),
    (5, 46, 41, 29, 22, 17)(7, 31)(8, 19, 33, 32, 43, 9)(10, 47, 36, 34, 23, 12)(11, 21, 20, 35, 45, 44)(13, 38, 16, 37, 14, 40)(15, 24, 
        18)(39, 48, 42),
    (3, 16)(4, 17)(5, 14)(6, 18)(7, 12)(10, 24)(13, 22)(15, 23)(27, 40)(28, 41)(29, 38)(30, 42)(31, 36)(34, 48)(37, 46)(39, 47),
    (2, 26)(5, 22)(6, 30)(8, 32)(9, 19)(10, 47)(11, 44)(12, 36)(13, 38)(14, 37)(15, 48)(20, 35)(23, 34)(24, 39)(29, 46)(33, 43),
    (3, 22, 5, 30, 47, 34)(4, 15, 42, 7, 37, 40, 28, 39, 18, 31, 13, 16)(6, 23, 10, 27, 46, 29)(8, 44, 33, 32, 20, 9)(11, 21, 43, 35, 45, 
        19)(12, 17)(14, 48, 38, 24)(36, 41)
}
>;

=<11,[154]>=

PermutationGroup<48|
{
    (11, 35)(12, 36)(13, 37)(15, 39)(17, 41)(19, 43)(23, 47)(24, 48),
    (3, 28)(4, 27)(5, 47)(6, 30)(7, 39, 31, 15)(8, 44, 32, 20)(10, 34)(12, 36)(13, 24, 37, 48)(14, 41)(16, 40)(17, 38)(18, 42)(19, 22, 43, 
        46)(21, 45)(23, 29),
    (7, 31)(8, 32)(10, 34)(12, 36)(13, 37)(14, 38)(17, 41)(19, 43),
    (2, 9, 26, 33)(3, 40)(4, 42, 28, 18)(6, 45, 30, 21)(7, 37, 31, 13)(8, 19)(10, 14)(12, 41, 36, 17)(15, 46, 39, 22)(16, 27)(20, 24)(32, 
        43)(34, 38)(44, 48),
    (9, 33)(12, 36)(15, 39)(16, 40)(19, 43)(20, 44)(21, 45)(24, 48),
    (13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19, 43)(20, 44),
    (5, 18)(6, 38)(7, 46)(9, 11, 33, 35)(12, 36)(13, 20, 37, 44)(14, 30)(15, 39)(16, 23, 40, 47)(17, 21, 41, 45)(19, 43)(22, 31)(24, 48)(29,
        42),
    (5, 40, 29, 16)(6, 14)(7, 37, 31, 13)(8, 15)(9, 35)(10, 12)(11, 33)(17, 45)(18, 47, 42, 23)(19, 24)(20, 22, 44, 46)(21, 41)(30, 38)(32, 
        39)(34, 36)(43, 48),
    (3, 27)(4, 28)(5, 42, 29, 18)(6, 38)(7, 46, 31, 22)(8, 32)(9, 11)(13, 44, 37, 20)(14, 30)(16, 23, 40, 47)(17, 45)(19, 43)(21, 41)(33, 
        35),
    (1, 21, 8, 16, 19, 12, 25, 45, 32, 40, 43, 36)(2, 6, 7, 17, 20, 3, 26, 30, 31, 41, 44, 27)(4, 33, 29, 48, 42, 37, 28, 9, 5, 24, 18, 
        13)(10, 11, 47, 22, 38, 15, 34, 35, 23, 46, 14, 39),
    (10, 34)(11, 35)(13, 37)(14, 38)(19, 43)(20, 44)(22, 46)(23, 47),
    (6, 45, 30, 21)(7, 37)(8, 19, 32, 43)(9, 33)(10, 12)(11, 35)(13, 31)(14, 17, 38, 41)(15, 48, 39, 24)(18, 42)(20, 46)(22, 44)(23, 47)(34,
        36)
}
>;

=<11,[520]>=

PermutationGroup<48|
{
    (17, 20)(18, 19)(21, 24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31),
    (33, 43)(34, 44)(35, 41)(36, 42)(37, 47)(38, 48)(39, 45)(40, 46),
    (9, 11)(10, 12)(13, 15)(14, 16)(17, 26)(18, 25)(19, 28)(20, 27)(21, 29)(22, 30)(23, 31)(24, 32)(33, 38)(34, 37)(35, 40)(36, 39)(41, 
        47)(42, 48)(43, 45)(44, 46),
    (33, 47)(34, 48)(35, 45)(36, 46)(37, 43)(38, 44)(39, 41)(40, 42),
    (17, 31)(18, 32)(19, 29)(20, 30)(21, 27)(22, 28)(23, 25)(24, 26)(33, 35)(34, 36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48),
    (3, 5, 7)(4, 6, 8)(9, 12, 15, 10, 11, 16)(13, 14)(17, 29, 25, 21)(18, 24, 19, 22, 28, 23, 26, 32, 27, 30, 20, 31)(33, 45, 39, 42, 37, 
        48, 34, 46, 40, 41, 38, 47)(35, 43, 36, 44),
    (17, 44)(18, 41)(19, 47)(20, 46)(21, 35)(22, 34)(23, 40)(24, 37)(25, 43)(26, 42)(27, 48)(28, 45)(29, 36)(30, 33)(31, 39)(32, 38),
    (1, 17, 16, 22)(2, 31, 13, 27)(3, 18, 14, 21)(4, 32, 15, 28)(5, 29, 10, 25)(6, 19, 11, 24)(7, 30, 12, 26)(8, 20, 9, 23)(33, 38, 36, 
        39)(34, 41)(35, 44)(37, 47)(40, 46)(42, 45, 43, 48),
    (17, 24)(18, 23)(19, 22)(20, 21)(25, 32)(26, 31)(27, 30)(28, 29)(33, 41)(34, 42)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40, 48),
    (9, 12)(10, 11)(13, 16)(14, 15)(17, 46, 25, 45)(18, 47, 26, 48)(19, 41, 27, 42)(20, 44, 28, 43)(21, 39, 29, 40)(22, 38, 30, 37)(23, 36, 
        31, 35)(24, 33, 32, 34),
    (2, 11, 3, 15, 14, 10, 7)(4, 5, 16, 8, 12, 9, 13)(17, 27, 19, 21, 22, 25, 29, 20, 26, 18, 24, 23, 28, 32)(30, 31)(33, 39)(34, 43, 36, 
        46, 42, 41, 37, 40, 45, 38, 44, 48, 47, 35),
    (33, 42)(34, 41)(35, 44)(36, 43)(37, 46)(38, 45)(39, 48)(40, 47),
    (9, 14)(10, 13)(11, 16)(12, 15)(17, 46, 28, 43)(18, 47, 27, 42)(19, 41, 26, 48)(20, 44, 25, 45)(21, 35, 32, 38)(22, 34, 31, 39)(23, 40, 
        30, 33)(24, 37, 29, 36),
    (33, 41)(34, 42)(35, 43)(36, 44)(37, 45)(38, 46)(39, 47)(40, 48),
    (5, 13, 8, 16)(6, 14, 7, 15)(9, 12)(10, 11)(17, 39, 27, 46, 26, 37, 20, 48)(18, 38, 28, 47, 25, 40, 19, 45)(21, 35, 24, 44, 30, 33, 31, 
        42)(22, 34, 23, 41, 29, 36, 32, 43),
    (17, 22)(18, 21)(19, 24)(20, 23)(25, 30)(26, 29)(27, 32)(28, 31)(33, 43)(34, 44)(35, 41)(36, 42)(37, 47)(38, 48)(39, 45)(40, 46)
}
>;

==================================
=<12,[3]>=

PermutationGroup<48|
{
    (5, 29)(7, 31)(8, 32)(10, 34)(12, 36)(15, 39)(16, 40)(17, 41)(21, 45)(22, 46)(23, 47)(24, 48),
    (5, 43, 29, 19)(7, 40, 31, 16)(8, 45)(9, 23)(10, 20, 34, 44)(11, 46)(12, 41)(13, 38, 37, 14)(15, 39)(17, 36)(18, 42)(21, 32)(22, 35)(33,
        47),
    (5, 11, 37, 29, 35, 13)(6, 36, 41)(7, 40, 42)(8, 32)(9, 48, 23)(10, 44, 39)(12, 17, 30)(14, 22, 43, 38, 46, 19)(15, 34, 20)(16, 18, 
        31)(21, 45)(24, 47, 33),
    (3, 46, 39)(4, 33, 7, 20, 16, 43)(5, 48, 6, 23, 14, 36)(8, 21)(9, 31, 44, 40, 19, 28)(10, 37, 17)(11, 18)(12, 29, 24, 30, 47, 38)(13, 
        41, 34)(15, 27, 22)(32, 45)(35, 42),
    (7, 31)(10, 34)(11, 35)(13, 37)(15, 39)(18, 42)(19, 43)(22, 46),
    (8, 32)(9, 33)(11, 35)(12, 36)(17, 41)(21, 45)(22, 46)(23, 47),
    (12, 36)(14, 38)(16, 40)(17, 41)(18, 42)(22, 46)(23, 47)(24, 48),
    (3, 17, 36)(4, 47, 38, 28, 23, 14)(5, 13, 31)(7, 29, 37)(8, 32)(9, 19, 35)(10, 48, 18)(11, 33, 43)(12, 27, 41)(15, 16, 22, 39, 40, 
        46)(21, 45)(24, 42, 34),
    (4, 38, 42, 13)(5, 22, 34, 23)(7, 48, 16, 39)(8, 21)(9, 20, 35, 19)(10, 47, 29, 46)(11, 43, 33, 44)(12, 41)(14, 18, 37, 28)(15, 31, 24, 
        40)(17, 36)(32, 45),
    (9, 33)(11, 35)(13, 37)(14, 38)(15, 39)(19, 43)(20, 44)(24, 48),
    (2, 26)(3, 20, 27, 44)(4, 34, 15)(5, 38, 16, 29, 14, 40)(6, 35, 41, 43, 12, 33, 30, 11, 17, 19, 36, 9)(7, 47, 24, 18, 46, 13, 31, 23, 
        48, 42, 22, 37)(8, 21, 32, 45)(10, 39, 28),
    (2, 21)(3, 17)(4, 10)(5, 18)(7, 22)(15, 24)(16, 23)(19, 20)(26, 45)(27, 41)(28, 34)(29, 42)(31, 46)(39, 48)(40, 47)(43, 44),
    (6, 30)(8, 32)(10, 34)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(21, 45)(23, 47)(24, 48),
    (10, 34)(11, 35)(13, 37)(16, 40)(18, 42)(20, 44)(23, 47)(24, 48),
    (1, 6)(2, 27)(3, 26)(7, 16)(8, 12)(9, 35)(11, 33)(13, 38)(14, 37)(17, 45)(21, 41)(22, 23)(25, 30)(31, 40)(32, 36)(46, 47)
}
>;


==================================