1
[ 1 .. 4 ] [ () ]

2
[ 1, 1, 3, 3 ] [ (), (1,2)(3,4) ]

3
[ 1, -1, 3, -3 ] [ (), (1,2)(3,4)(5,6) ]

4
[ 1, 2, 1, 2 ] [ (), (1,3)(2,4) ]

5
[ 1, 2, -1, -2 ] [ (), (1,3)(2,4)(5,6) ]

6
[ 1, 2, 2, 1 ] [ (), (1,4)(2,3) ]

7
[ 1, 2, -2, -1 ] [ (), (1,4)(2,3)(5,6) ]

8
[ 1, 1, 1, 1 ] [ (), (1,2)(3,4), (1,3)(2,4), (1,4)(2,3) ]

9
[ 1, 1, -1, -1 ] [ (), (1,2)(3,4), (1,3)(2,4)(5,6), (1,4)(2,3)(5,6) ]

10
[ 1, -1, 1, -1 ] [ (), (1,2)(3,4)(5,6), (1,3)(2,4), (1,4)(2,3)(5,6) ]

11
[ 1, -1, -1, 1 ] [ (), (1,2)(3,4)(5,6), (1,3)(2,4)(5,6), (1,4)(2,3) ]

12
[ 0, 0, 0, 0 ] [ (), (5,6), (1,2)(3,4), (1,2)(3,4)(5,6), (1,3)(2,4), 
  (1,3)(2,4)(5,6), (1,4)(2,3), (1,4)(2,3)(5,6) ]

Subgroup structure
[ [   0,   1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12 ],
  [   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1 ],
  [   2,   0,   1,   0,   0,   0,   0,   0,   1,   1,   0,   0,   1 ],
  [   3,   0,   0,   1,   0,   0,   0,   0,   0,   0,   1,   1,   1 ],
  [   4,   0,   0,   0,   1,   0,   0,   0,   1,   0,   1,   0,   1 ],
  [   5,   0,   0,   0,   0,   1,   0,   0,   0,   1,   0,   1,   1 ],
  [   6,   0,   0,   0,   0,   0,   1,   0,   1,   0,   0,   1,   1 ],
  [   7,   0,   0,   0,   0,   0,   0,   1,   0,   1,   1,   0,   1 ],
  [   8,   0,   0,   0,   0,   0,   0,   0,   1,   0,   0,   0,   1 ],
  [   9,   0,   0,   0,   0,   0,   0,   0,   0,   1,   0,   0,   1 ],
  [  10,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   0,   1 ],
  [  11,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1,   1 ],
  [  12,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   1 ] ]