g := Sym(5);
invols := 
[ 
[g|
(1, 2)
,
(1, 3)(2, 4)
,
(4, 5)
],
[g|
(1, 2)
,
(1, 3)(2, 4)
,
(1, 2)(3, 5)
],
[g|
(1, 2)
,
(1, 5)(3, 4)
,
(1, 2)(3, 5)
],
[g|
(1, 3)(4, 5)
,
(1, 2)
,
(1, 5)(3, 4)
],
[g|
(1, 2)
,
(1, 3)
,
(3, 5)
,
(4, 5)
]
];