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

invols := 
[ 
[g|
(1, 10)(2, 13)(3, 15)(4, 5)(6, 16)(7, 20)(9, 12)(11, 18)(22, 25)(23, 33)(24, 
    27)(26, 37)(28, 34)(29, 35)(32, 41)(38, 42)
,
(1, 26)(2, 41)(3, 25)(4, 30)(5, 31)(6, 38)(7, 40)(8, 22)(9, 24)(10, 32)(11, 
    23)(12, 33)(13, 27)(14, 34)(15, 29)(16, 28)(17, 36)(18, 37)(19, 42)(20, 
    39)(21, 35)
,
(1, 15)(2, 4)(3, 10)(5, 13)(6, 9)(7, 11)(12, 16)(18, 20)(23, 33)(26, 29)(28, 
    41)(30, 40)(31, 36)(32, 34)(35, 37)(38, 42)
],
[g|
(1, 26)(2, 41)(3, 25)(4, 30)(5, 31)(6, 38)(7, 40)(8, 22)(9, 24)(10, 32)(11, 
    23)(12, 33)(13, 27)(14, 34)(15, 29)(16, 28)(17, 36)(18, 37)(19, 42)(20, 
    39)(21, 35)
,
(2, 12)(3, 9)(5, 10)(6, 18)(7, 15)(13, 20)(14, 21)(17, 19)(22, 28)(23, 30)(24, 
    32)(25, 41)(27, 34)(31, 42)(33, 36)(38, 40)
,
(1, 25)(2, 31)(3, 26)(4, 32)(5, 41)(6, 38)(7, 28)(8, 35)(9, 37)(10, 30)(11, 
    23)(12, 33)(13, 29)(14, 36)(15, 27)(16, 40)(17, 34)(18, 24)(19, 42)(20, 
    39)(21, 22)
],
[g|
(1, 11)(2, 15)(3, 9)(4, 16)(7, 12)(13, 20)(14, 19)(17, 21)(22, 31)(23, 41)(24, 
    40)(25, 30)(27, 36)(28, 42)(32, 38)(33, 34)
,
(1, 26)(2, 41)(3, 25)(4, 30)(5, 31)(6, 38)(7, 40)(8, 22)(9, 24)(10, 32)(11, 
    23)(12, 33)(13, 27)(14, 34)(15, 29)(16, 28)(17, 36)(18, 37)(19, 42)(20, 
    39)(21, 35)
,
(2, 12)(3, 9)(5, 10)(6, 18)(7, 15)(13, 20)(14, 21)(17, 19)(22, 28)(23, 30)(24, 
    32)(25, 41)(27, 34)(31, 42)(33, 36)(38, 40)
],
[g|
(1, 26)(2, 41)(3, 25)(4, 30)(5, 31)(6, 38)(7, 40)(8, 22)(9, 24)(10, 32)(11, 
    23)(12, 33)(13, 27)(14, 34)(15, 29)(16, 28)(17, 36)(18, 37)(19, 42)(20, 
    39)(21, 35)
,
(2, 12)(3, 9)(5, 10)(6, 18)(7, 15)(13, 20)(14, 21)(17, 19)(22, 28)(23, 30)(24, 
    32)(25, 41)(27, 34)(31, 42)(33, 36)(38, 40)
,
(1, 17)(3, 13)(5, 11)(7, 16)(8, 20)(10, 12)(14, 15)(18, 19)(22, 39)(23, 31)(25, 
    27)(26, 36)(28, 40)(29, 34)(32, 33)(37, 42)
]
];