sym := SymmetricGroup(65);
aut  := sub<sym|
(4,6,23)(7,13,15)(8,17,26)(9,19,28)(11,22,12)(14,33,25)(16,27,30)(18,34,45)(20,36,48)(21,41,24)(29,37,44)(31,60,43)(32,47,51)(35,54,61)(38,39,49)(40,57,53)(42,56,50)(46,64,52)(55,65,63)(58,59,62),
(3,4,6,12,23,22,11)(5,9,19,14,28,25,33)(7,15,10,8,17,13,26)(16,24,42,62,32,53,37)(18,31,20,38,52,65,61)(21,40,56,44,58,27,47)(29,41,59,57,30,50,51)(34,46,60,63,36,35,39)(43,49,55,45,48,64,54),
(2,18,34,27,45,16,30)(4,62,19,32,43,39,56)(5,7,13,24,15,41,21)(6,31,58,49,28,50,47)(8,61,25,22,65,52,53)(9,60,42,59,51,38,23)(10,20,36,29,48,44,37)(11,64,26,33,55,57,54)(12,17,63,35,46,14,40),
(1,2)(3,4)(5,8)(6,11)(7,14)(9,10)(12,22)(13,25)(15,19)(16,31)(17,33)(18,24)(20,37)(21,39)(26,28)(27,46)(29,49)(30,48)(32,52)(34,47)(35,40)(36,56)(38,53)(41,43)(42,61)(44,63)(45,50)(51,55)(54,59)(57,64)(58,60)(62,65)
>;
g := sub<aut|aut.2,aut.3,aut.4>;
invols := 
[ 
[g|
(1, 34)(2, 22)(3, 26)(4, 16)(5, 33)(6, 50)(7, 48)(8, 51)(9, 32)(10, 40)(11, 
    30)(12, 15)(13, 21)(14, 31)(17, 46)(18, 54)(19, 52)(20, 27)(23, 56)(24, 
    42)(25, 65)(28, 45)(29, 39)(35, 47)(36, 57)(37, 38)(41, 53)(43, 55)(44, 
    64)(49, 61)(58, 60)(59, 62)
,
(1, 13)(2, 18)(3, 47)(4, 46)(5, 29)(6, 52)(7, 61)(8, 41)(9, 38)(10, 33)(11, 
    28)(12, 22)(14, 65)(15, 20)(16, 56)(17, 63)(19, 45)(21, 35)(23, 43)(24, 
    26)(25, 58)(27, 51)(30, 40)(31, 57)(32, 60)(34, 39)(36, 59)(37, 53)(42, 
    64)(44, 50)(48, 55)(54, 62)
,
(1, 44)(2, 45)(3, 39)(4, 18)(5, 30)(6, 7)(8, 40)(9, 46)(10, 51)(11, 33)(12, 
    20)(13, 43)(14, 19)(15, 27)(16, 54)(17, 32)(21, 55)(22, 28)(23, 35)(24, 
    59)(25, 37)(26, 29)(31, 52)(34, 64)(36, 41)(38, 65)(42, 62)(47, 56)(48, 
    50)(49, 60)(53, 57)(58, 61)
],
[g|
(1, 32)(2, 13)(3, 11)(4, 52)(5, 29)(6, 20)(7, 12)(8, 61)(9, 34)(10, 60)(14, 
    54)(15, 48)(16, 19)(17, 44)(18, 31)(21, 22)(23, 59)(24, 35)(25, 41)(26, 
    30)(27, 50)(28, 55)(33, 39)(36, 37)(38, 57)(40, 58)(42, 47)(43, 45)(46, 
    64)(49, 51)(53, 65)(56, 62)
,
(1, 13)(2, 18)(3, 47)(4, 46)(5, 29)(6, 52)(7, 61)(8, 41)(9, 38)(10, 33)(11, 
    28)(12, 22)(14, 65)(15, 20)(16, 56)(17, 63)(19, 45)(21, 35)(23, 43)(24, 
    26)(25, 58)(27, 51)(30, 40)(31, 57)(32, 60)(34, 39)(36, 59)(37, 53)(42, 
    64)(44, 50)(48, 55)(54, 62)
,
(1, 44)(2, 45)(3, 39)(4, 18)(5, 30)(6, 7)(8, 40)(9, 46)(10, 51)(11, 33)(12, 
    20)(13, 43)(14, 19)(15, 27)(16, 54)(17, 32)(21, 55)(22, 28)(23, 35)(24, 
    59)(25, 37)(26, 29)(31, 52)(34, 64)(36, 41)(38, 65)(42, 62)(47, 56)(48, 
    50)(49, 60)(53, 57)(58, 61)
],
[g|
(1, 24)(2, 12)(3, 6)(4, 30)(5, 46)(7, 48)(8, 10)(9, 39)(11, 19)(13, 25)(14, 
    62)(15, 33)(16, 32)(17, 65)(18, 34)(20, 55)(21, 61)(22, 49)(23, 60)(26, 
    59)(27, 56)(29, 51)(31, 53)(35, 63)(36, 41)(37, 47)(38, 45)(40, 52)(42, 
    43)(44, 57)(50, 64)(54, 58)
,
(1, 13)(2, 18)(3, 47)(4, 46)(5, 29)(6, 52)(7, 61)(8, 41)(9, 38)(10, 33)(11, 
    28)(12, 22)(14, 65)(15, 20)(16, 56)(17, 63)(19, 45)(21, 35)(23, 43)(24, 
    26)(25, 58)(27, 51)(30, 40)(31, 57)(32, 60)(34, 39)(36, 59)(37, 53)(42, 
    64)(44, 50)(48, 55)(54, 62)
,
(1, 23)(2, 26)(3, 47)(4, 42)(5, 16)(6, 37)(7, 18)(8, 64)(9, 55)(10, 50)(11, 
    29)(12, 59)(13, 53)(14, 40)(15, 63)(17, 58)(19, 51)(20, 39)(21, 36)(22, 
    27)(24, 60)(25, 31)(30, 43)(32, 46)(33, 35)(34, 48)(38, 57)(41, 61)(44, 
    45)(49, 56)(52, 62)(54, 65)
],
[g|
(1, 45)(2, 37)(3, 59)(4, 16)(5, 42)(6, 26)(7, 53)(8, 55)(9, 64)(10, 20)(11, 
    41)(12, 47)(13, 18)(14, 56)(15, 54)(17, 35)(19, 36)(21, 51)(22, 52)(23, 
    44)(24, 38)(25, 34)(27, 62)(29, 61)(30, 32)(31, 48)(33, 58)(39, 50)(40, 
    49)(43, 46)(57, 60)(63, 65)
,
(1, 13)(2, 18)(3, 47)(4, 46)(5, 29)(6, 52)(7, 61)(8, 41)(9, 38)(10, 33)(11, 
    28)(12, 22)(14, 65)(15, 20)(16, 56)(17, 63)(19, 45)(21, 35)(23, 43)(24, 
    26)(25, 58)(27, 51)(30, 40)(31, 57)(32, 60)(34, 39)(36, 59)(37, 53)(42, 
    64)(44, 50)(48, 55)(54, 62)
,
(1, 23)(2, 26)(3, 47)(4, 42)(5, 16)(6, 37)(7, 18)(8, 64)(9, 55)(10, 50)(11, 
    29)(12, 59)(13, 53)(14, 40)(15, 63)(17, 58)(19, 51)(20, 39)(21, 36)(22, 
    27)(24, 60)(25, 31)(30, 43)(32, 46)(33, 35)(34, 48)(38, 57)(41, 61)(44, 
    45)(49, 56)(52, 62)(54, 65)
],
[g|
(1, 44)(2, 6)(3, 12)(4, 5)(7, 13)(8, 9)(10, 39)(11, 61)(14, 49)(15, 65)(16, 
    42)(17, 33)(18, 53)(19, 21)(20, 50)(22, 62)(23, 45)(24, 57)(25, 48)(26, 
    37)(27, 52)(29, 41)(30, 46)(31, 34)(32, 43)(35, 58)(36, 51)(38, 60)(40, 
    56)(47, 59)(54, 63)(55, 64)
,
(1, 13)(2, 18)(3, 47)(4, 46)(5, 29)(6, 52)(7, 61)(8, 41)(9, 38)(10, 33)(11, 
    28)(12, 22)(14, 65)(15, 20)(16, 56)(17, 63)(19, 45)(21, 35)(23, 43)(24, 
    26)(25, 58)(27, 51)(30, 40)(31, 57)(32, 60)(34, 39)(36, 59)(37, 53)(42, 
    64)(44, 50)(48, 55)(54, 62)
,
(1, 23)(2, 26)(3, 47)(4, 42)(5, 16)(6, 37)(7, 18)(8, 64)(9, 55)(10, 50)(11, 
    29)(12, 59)(13, 53)(14, 40)(15, 63)(17, 58)(19, 51)(20, 39)(21, 36)(22, 
    27)(24, 60)(25, 31)(30, 43)(32, 46)(33, 35)(34, 48)(38, 57)(41, 61)(44, 
    45)(49, 56)(52, 62)(54, 65)
],
[g|
(1, 57)(2, 3)(4, 46)(5, 30)(6, 12)(7, 25)(8, 39)(9, 10)(11, 21)(13, 48)(14, 
    22)(15, 17)(16, 43)(18, 31)(19, 61)(20, 64)(23, 38)(24, 44)(26, 47)(27, 
    40)(29, 36)(32, 42)(33, 65)(34, 53)(35, 54)(37, 59)(41, 51)(45, 60)(49, 
    62)(50, 55)(52, 56)(58, 63)
,
(1, 13)(2, 18)(3, 47)(4, 46)(5, 29)(6, 52)(7, 61)(8, 41)(9, 38)(10, 33)(11, 
    28)(12, 22)(14, 65)(15, 20)(16, 56)(17, 63)(19, 45)(21, 35)(23, 43)(24, 
    26)(25, 58)(27, 51)(30, 40)(31, 57)(32, 60)(34, 39)(36, 59)(37, 53)(42, 
    64)(44, 50)(48, 55)(54, 62)
,
(1, 23)(2, 26)(3, 47)(4, 42)(5, 16)(6, 37)(7, 18)(8, 64)(9, 55)(10, 50)(11, 
    29)(12, 59)(13, 53)(14, 40)(15, 63)(17, 58)(19, 51)(20, 39)(21, 36)(22, 
    27)(24, 60)(25, 31)(30, 43)(32, 46)(33, 35)(34, 48)(38, 57)(41, 61)(44, 
    45)(49, 56)(52, 62)(54, 65)
],
[g|
(1, 49)(2, 32)(3, 17)(4, 58)(5, 60)(6, 40)(7, 18)(8, 65)(9, 21)(10, 63)(11, 
    53)(12, 20)(13, 62)(14, 35)(15, 43)(16, 25)(22, 29)(23, 51)(24, 44)(26, 
    48)(27, 30)(28, 56)(31, 37)(33, 45)(34, 41)(36, 57)(38, 46)(39, 64)(42, 
    59)(47, 54)(50, 52)(55, 61)
,
(1, 13)(2, 18)(3, 47)(4, 46)(5, 29)(6, 52)(7, 61)(8, 41)(9, 38)(10, 33)(11, 
    28)(12, 22)(14, 65)(15, 20)(16, 56)(17, 63)(19, 45)(21, 35)(23, 43)(24, 
    26)(25, 58)(27, 51)(30, 40)(31, 57)(32, 60)(34, 39)(36, 59)(37, 53)(42, 
    64)(44, 50)(48, 55)(54, 62)
,
(1, 6)(2, 17)(3, 32)(4, 29)(5, 30)(7, 57)(8, 62)(9, 47)(10, 56)(11, 16)(12, 
    44)(13, 65)(14, 61)(15, 45)(18, 36)(20, 24)(21, 54)(22, 58)(23, 50)(25, 
    53)(26, 46)(27, 60)(28, 63)(31, 41)(33, 43)(34, 37)(35, 55)(38, 48)(39, 
    42)(40, 49)(51, 52)(59, 64)
]
];