g := Sym(7); invols := [ [g| (1, 2) , (1, 7)(3, 6)(4, 5) , (1, 2)(3, 7)(5, 6) ], [g| (1, 2) , (1, 7)(3, 6)(4, 5) , (4, 7)(5, 6) ], [g| (1, 2) , (1, 5)(2, 4)(3, 6) , (1, 2)(3, 4)(5, 7) ], [g| (1, 2) , (1, 5)(2, 4)(3, 6) , (1, 2)(3, 7)(5, 6) ], [g| (1, 2) , (1, 5)(2, 4)(3, 6) , (4, 7)(5, 6) ], [g| (1, 2) , (1, 5)(2, 4)(3, 6) , (3, 4)(6, 7) ], [g| (1, 4)(2, 7)(3, 6) , (1, 2)(3, 4)(5, 6) , (1, 4)(2, 3)(6, 7) ], [g| (1, 2)(3, 4)(5, 6) , (1, 4)(2, 3)(6, 7) , (3, 5)(4, 6) ], [g| (1, 6)(3, 7)(4, 5) , (1, 2)(3, 4)(5, 6) , (1, 4)(5, 6) ], [g| (1, 6)(2, 7)(3, 5) , (1, 2)(3, 4)(5, 6) , (1, 2)(6, 7) ], [g| (1, 2)(3, 4)(5, 6) , (1, 4)(2, 7)(5, 6) , (1, 2)(3, 5)(4, 6) ], [g| (1, 5)(2, 7)(4, 6) , (1, 2)(3, 4)(5, 6) , (1, 4)(2, 7)(5, 6) ], [g| (1, 5)(4, 6) , (1, 2)(3, 4)(5, 6) , (1, 4)(2, 7)(5, 6) ], [g| (1, 2)(3, 4)(5, 6) , (1, 4)(2, 7)(5, 6) , (3, 5)(4, 6) ], [g| (1, 4)(2, 5)(3, 7) , (1, 2)(3, 4)(5, 6) , (1, 4)(2, 5) ], [g| (1, 5)(2, 4)(6, 7) , (1, 2)(3, 4)(5, 6) , (1, 4)(2, 5) ], [g| (1, 4)(3, 7) , (1, 2)(3, 4)(5, 6) , (1, 4)(2, 5) ], [g| (1, 4)(6, 7) , (1, 2)(3, 4)(5, 6) , (1, 4)(2, 5) ], [g| (1, 2)(3, 4)(5, 6) , (2, 3)(4, 7) , (1, 2)(3, 5)(4, 6) ], [g| (1, 6)(2, 3)(4, 7) , (1, 2)(3, 4)(5, 6) , (2, 3)(4, 7) ], [g| (1, 5)(2, 4)(3, 7) , (1, 2)(3, 4)(5, 6) , (2, 3)(4, 7) ], [g| (1, 2)(3, 4)(5, 6) , (2, 3)(4, 7) , (1, 5)(2, 6)(3, 4) ], [g| (1, 2)(3, 4)(5, 6) , (2, 3)(4, 7) , (1, 5)(2, 6) ], [g| (1, 5)(4, 7) , (1, 2)(3, 4)(5, 6) , (2, 3)(4, 7) ], [g| (1, 2)(3, 4)(5, 6) , (2, 3)(4, 7) , (3, 5)(4, 6) ], [g| (1, 2)(3, 4)(5, 6) , (2, 3)(5, 7) , (1, 2)(3, 6)(4, 5) ], [g| (2, 3)(4, 6)(5, 7) , (1, 2)(3, 4)(5, 6) , (2, 3)(5, 7) ], [g| (1, 4)(2, 5)(3, 7) , (1, 2)(3, 4)(5, 6) , (2, 3)(5, 7) ], [g| (2, 5)(3, 7)(4, 6) , (1, 2)(3, 4)(5, 6) , (2, 3)(5, 7) ], [g| (1, 2)(3, 4)(5, 6) , (2, 3)(5, 7) , (1, 5)(2, 6) ], [g| (1, 2)(3, 4)(5, 6) , (2, 3)(5, 7) , (3, 5)(4, 6) ], [g| (2, 5)(3, 7) , (1, 2)(3, 4)(5, 6) , (2, 3)(5, 7) ], [g| (1, 2)(3, 4)(5, 6) , (1, 6)(2, 4)(5, 7) , (1, 2)(3, 6)(4, 5) ], [g| (1, 5)(2, 4)(6, 7) , (1, 2)(3, 4)(5, 6) , (1, 6)(2, 4)(5, 7) ], [g| (1, 2)(3, 4)(5, 6) , (1, 6)(2, 4)(5, 7) , (1, 5)(2, 6)(3, 4) ], [g| (4, 7)(5, 6) , (2, 6)(5, 7) , (1, 2) , (1, 3) ], [g| (1, 2) , (1, 4)(2, 5) , (4, 7)(5, 6) , (3, 7) ], [g| (1, 2) , (1, 7)(3, 6)(4, 5) , (3, 7) , (3, 5)(4, 6) ], [g| (3, 5)(4, 6) , (1, 4)(5, 7) , (1, 2) , (1, 7)(3, 6)(4, 5) ], [g| (1, 2) , (1, 7)(3, 6)(4, 5) , (4, 5)(6, 7) , (3, 5)(4, 6) ], [g| (1, 2) , (2, 5)(6, 7) , (4, 7)(5, 6) , (3, 4)(6, 7) ], [g| (1, 2) , (2, 5)(6, 7) , (3, 5)(4, 6) , (3, 4)(6, 7) ], [g| (1, 2) , (1, 3) , (3, 7) , (4, 7)(5, 6) , (4, 6) ], [g| (1, 2) , (1, 3) , (3, 7) , (6, 7) , (4, 6) , (4, 5) ] ];