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K5

1
[ 1 .. 5 ] Group( () ) [ 1, 1 ]

2
[ 1, 2, 3, 4, 4 ] Group( [ (4,5) ] ) [ 2, 1 ]
[ 1, 2, 3, 4, 3 ] Group( [ (3,5) ] ) [ 2, 1 ]
[ 1, 2, 3, 3, 5 ] Group( [ (3,4) ] ) [ 2, 1 ]
[ 1, 2, 3, 4, 2 ] Group( [ (2,5) ] ) [ 2, 1 ]
[ 1, 2, 3, 2, 5 ] Group( [ (2,4) ] ) [ 2, 1 ]
[ 1, 2, 2, 4, 5 ] Group( [ (2,3) ] ) [ 2, 1 ]
[ 1, 2, 3, 4, 1 ] Group( [ (1,5) ] ) [ 2, 1 ]
[ 1, 2, 3, 1, 5 ] Group( [ (1,4) ] ) [ 2, 1 ]
[ 1, 2, 1, 4, 5 ] Group( [ (1,3) ] ) [ 2, 1 ]
[ 1, 1, 3, 4, 5 ] Group( [ (1,2) ] ) [ 2, 1 ]

3
[ 0, 2, -2, 4, -4 ] Group( [ (2,3)(4,5)(6,7) ] ) [ 2, 1 ]
[ 0, 2, 3, -2, -3 ] Group( [ (2,4)(3,5)(6,7) ] ) [ 2, 1 ]
[ 0, 2, 3, -3, -2 ] Group( [ (2,5)(3,4)(6,7) ] ) [ 2, 1 ]
[ 1, -1, 3, -3, 0 ] Group( [ (1,2)(3,4)(6,7) ] ) [ 2, 1 ]
[ 1, 2, -1, -2, 0 ] Group( [ (1,3)(2,4)(6,7) ] ) [ 2, 1 ]
[ 1, 2, -2, -1, 0 ] Group( [ (1,4)(2,3)(6,7) ] ) [ 2, 1 ]
[ 1, 0, -1, 4, -4 ] Group( [ (1,3)(4,5)(6,7) ] ) [ 2, 1 ]
[ 1, 0, 3, -1, -3 ] Group( [ (1,4)(3,5)(6,7) ] ) [ 2, 1 ]
[ 1, 0, 3, -3, -1 ] Group( [ (1,5)(3,4)(6,7) ] ) [ 2, 1 ]
[ 1, 2, -2, 0, -1 ] Group( [ (1,5)(2,3)(6,7) ] ) [ 2, 1 ]
[ 1, 2, -1, 0, -2 ] Group( [ (1,3)(2,5)(6,7) ] ) [ 2, 1 ]
[ 1, -1, 3, 0, -3 ] Group( [ (1,2)(3,5)(6,7) ] ) [ 2, 1 ]
[ 1, -1, 0, 4, -4 ] Group( [ (1,2)(4,5)(6,7) ] ) [ 2, 1 ]
[ 1, 2, 0, -1, -2 ] Group( [ (1,4)(2,5)(6,7) ] ) [ 2, 1 ]
[ 1, 2, 0, -2, -1 ] Group( [ (1,5)(2,4)(6,7) ] ) [ 2, 1 ]

4
[ 1, 2, 2, 4, 4 ] Group( [ (4,5), (2,3) ] ) [ 4, 2 ]
[ 1, 2, 3, 2, 3 ] Group( [ (3,5), (2,4) ] ) [ 4, 2 ]
[ 1, 2, 3, 3, 2 ] Group( [ (3,4), (2,5) ] ) [ 4, 2 ]
[ 1, 1, 3, 3, 5 ] Group( [ (3,4), (1,2) ] ) [ 4, 2 ]
[ 1, 2, 1, 2, 5 ] Group( [ (2,4), (1,3) ] ) [ 4, 2 ]
[ 1, 2, 2, 1, 5 ] Group( [ (2,3), (1,4) ] ) [ 4, 2 ]
[ 1, 2, 1, 4, 4 ] Group( [ (4,5), (1,3) ] ) [ 4, 2 ]
[ 1, 2, 3, 1, 3 ] Group( [ (3,5), (1,4) ] ) [ 4, 2 ]
[ 1, 2, 3, 3, 1 ] Group( [ (3,4), (1,5) ] ) [ 4, 2 ]
[ 1, 2, 2, 4, 1 ] Group( [ (2,3), (1,5) ] ) [ 4, 2 ]
[ 1, 2, 1, 4, 2 ] Group( [ (1,3), (2,5) ] ) [ 4, 2 ]
[ 1, 1, 3, 4, 3 ] Group( [ (1,2), (3,5) ] ) [ 4, 2 ]
[ 1, 1, 3, 4, 4 ] Group( [ (1,2), (4,5) ] ) [ 4, 2 ]
[ 1, 2, 3, 1, 2 ] Group( [ (2,5), (1,4) ] ) [ 4, 2 ]
[ 1, 2, 3, 2, 1 ] Group( [ (1,5), (2,4) ] ) [ 4, 2 ]

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

6
[ 0, 2, 2, -2, -2 ] Group( [ (4,5), (2,3), (2,4)(3,5)(6,7) ] ) [ 8, 3 ]
[ 0, 2, -2, 2, -2 ] Group( [ (3,5), (2,4), (2,3)(4,5)(6,7) ] ) [ 8, 3 ]
[ 0, 2, -2, -2, 2 ] Group( [ (3,4), (2,5), (2,3)(4,5)(6,7) ] ) [ 8, 3 ]
[ 1, 1, -1, -1, 0 ] Group( [ (3,4), (1,2), (1,3)(2,4)(6,7) ] ) [ 8, 3 ]
[ 1, -1, 1, -1, 0 ] Group( [ (2,4), (1,3), (1,2)(3,4)(6,7) ] ) [ 8, 3 ]
[ 1, -1, -1, 1, 0 ] Group( [ (2,3), (1,4), (1,2)(3,4)(6,7) ] ) [ 8, 3 ]
[ 1, 0, 1, -1, -1 ] Group( [ (4,5), (1,3), (1,4)(3,5)(6,7) ] ) [ 8, 3 ]
[ 1, 0, -1, 1, -1 ] Group( [ (3,5), (1,4), (1,3)(4,5)(6,7) ] ) [ 8, 3 ]
[ 1, 0, -1, -1, 1 ] Group( [ (3,4), (1,5), (1,3)(4,5)(6,7) ] ) [ 8, 3 ]
[ 1, -1, -1, 0, 1 ] Group( [ (2,3), (1,5), (1,3)(2,5)(6,7) ] ) [ 8, 3 ]
[ 1, -1, 1, 0, -1 ] Group( [ (1,3), (2,5), (1,5)(2,3)(6,7) ] ) [ 8, 3 ]
[ 1, 1, -1, 0, -1 ] Group( [ (1,2), (3,5), (1,5)(2,3)(6,7) ] ) [ 8, 3 ]
[ 1, 1, 0, -1, -1 ] Group( [ (1,2), (4,5), (1,4)(2,5)(6,7) ] ) [ 8, 3 ]
[ 1, -1, 0, 1, -1 ] Group( [ (2,5), (1,4), (1,2)(4,5)(6,7) ] ) [ 8, 3 ]
[ 1, -1, 0, -1, 1 ] Group( [ (1,5), (2,4), (1,2)(4,5)(6,7) ] ) [ 8, 3 ]

7
[ 1, 1, 1, 4, 4 ] Group( [ (4,5), (1,2,3), (2,3) ] ) [ 12, 4 ]
[ 1, 1, 3, 1, 3 ] Group( [ (3,5), (1,2,4), (2,4) ] ) [ 12, 4 ]
[ 1, 1, 3, 3, 1 ] Group( [ (3,4), (1,2,5), (2,5) ] ) [ 12, 4 ]
[ 1, 2, 1, 1, 2 ] Group( [ (2,5), (1,3,4), (3,4) ] ) [ 12, 4 ]
[ 1, 2, 1, 2, 1 ] Group( [ (2,4), (1,3,5), (3,5) ] ) [ 12, 4 ]
[ 1, 2, 2, 1, 1 ] Group( [ (2,3), (1,4,5), (4,5) ] ) [ 12, 4 ]
[ 1, 2, 2, 2, 1 ] Group( [ (1,5), (2,3,4), (3,4) ] ) [ 12, 4 ]
[ 1, 2, 2, 1, 2 ] Group( [ (1,4), (2,3,5), (3,5) ] ) [ 12, 4 ]
[ 1, 2, 1, 2, 2 ] Group( [ (1,3), (2,4,5), (4,5) ] ) [ 12, 4 ]
[ 1, 1, 3, 3, 3 ] Group( [ (1,2), (3,4,5), (4,5) ] ) [ 12, 4 ]

8
[ 0, 0, 0, 4, -4 ] Group( [ (4,5)(6,7), (1,2,3), (2,3) ] ) [ 12, 4 ]
[ 0, 0, 3, 0, -3 ] Group( [ (3,5)(6,7), (1,2,4), (2,4) ] ) [ 12, 4 ]
[ 0, 0, 3, -3, 0 ] Group( [ (3,4)(6,7), (1,2,5), (2,5) ] ) [ 12, 4 ]
[ 0, 2, 0, 0, -2 ] Group( [ (2,5)(6,7), (1,3,4), (3,4) ] ) [ 12, 4 ]
[ 0, 2, 0, -2, 0 ] Group( [ (2,4)(6,7), (1,3,5), (3,5) ] ) [ 12, 4 ]
[ 0, 2, -2, 0, 0 ] Group( [ (2,3)(6,7), (1,4,5), (4,5) ] ) [ 12, 4 ]
[ 1, 0, 0, 0, -1 ] Group( [ (1,5)(6,7), (2,3,4), (3,4) ] ) [ 12, 4 ]
[ 1, 0, 0, -1, 0 ] Group( [ (1,4)(6,7), (2,3,5), (3,5) ] ) [ 12, 4 ]
[ 1, 0, -1, 0, 0 ] Group( [ (1,3)(6,7), (2,4,5), (4,5) ] ) [ 12, 4 ]
[ 1, -1, 0, 0, 0 ] Group( [ (1,2)(6,7), (3,4,5), (4,5) ] ) [ 12, 4 ]

9
[ 1, 2, 2, 2, 2 ] Group( [ (2,3)(4,5), (2,4)(3,5), (3,4,5), (4,5) ] ) [ 24, 12 ]
[ 1, 1, 1, 1, 5 ] Group( [ (1,2)(3,4), (1,3)(2,4), (2,3,4), (3,4) ] ) [ 24, 12 ]
[ 1, 2, 1, 1, 1 ] Group( [ (1,3)(4,5), (1,4)(3,5), (3,4,5), (4,5) ] ) [ 24, 12 ]
[ 1, 1, 1, 4, 1 ] Group( [ (1,5)(2,3), (1,3)(2,5), (1,2,3), (2,3) ] ) [ 24, 12 ]
[ 1, 1, 3, 1, 1 ] Group( [ (1,2)(4,5), (1,4)(2,5), (1,2,5), (1,2) ] ) [ 24, 12 ]

10
[ 1, 1, 1, 1, 1 ] Group( [ (1,3,2), (2,4,3), (2,3)(4,5), (4,5) ] ) [ 120, 34 ]

11
[ 0, 0, 0, 0, 0 ] Group( [ (1,2,3,4,5), (1,2), (6,7) ] ) [ 240, 189 ]

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

Symmetry type S1 [ 1, 1 ]
  Representation 1, dimension of U_i = 1
    1, dim  Fix_P(U) K = 5, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1 ],  maximals 
  Possible jumps from S1 [  ]

Symmetry type S2 [ 2, 1 ]
  Representation 1, dimension of U_i = 1
    2, dim  Fix_P(U) K = 4, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 2 ],  maximals 
  Representation 2, dimension of U_i = 1
    1, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    2, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 2 ],  maximals 1 
  Possible jumps from S2 [ 1 ]

Symmetry type S3 [ 2, 1 ]
  Representation 1, dimension of U_i = 1
    3, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 3 ],  maximals 
  Representation 2, dimension of U_i = 1
    1, dim  Fix_P(U) K = 3, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    3, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 3 ],  maximals 1 
  Possible jumps from S3 [ 1 ]

Symmetry type S4 [ 4, 2 ]
  Representation 1, dimension of U_i = 1
    4, dim  Fix_P(U) K = 3, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 4 ],  maximals 
  Representation 2, dimension of U_i = 1
    2, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    4, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 2, 4 ],  maximals 2 
  Representation 3, dimension of U_i = 1
    2, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    4, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 2, 4 ],  maximals 2 
  Possible jumps from S4 [ 2, 2 ]

Symmetry type S5 [ 6, 1 ]
  Representation 1, dimension of U_i = 1
    5, dim  Fix_P(U) K = 3, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 5 ],  maximals 
  Representation 3, dimension of U_i = 2
    1, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 6, 1 ]
    2, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    5, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 2, 5 ],  maximals 2 
  Possible jumps from S5 [ 2 ]

Symmetry type S6 [ 8, 3 ]
  Representation 1, dimension of U_i = 1
    6, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 6 ],  maximals 
  Representation 3, dimension of U_i = 1
    4, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    6, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 4, 6 ],  maximals 4 
  Representation 5, dimension of U_i = 2
    1, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 8, 3 ]
    2, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    3, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    6, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 2, 3, 6 ],  maximals 2 3 
  Possible jumps from S6 [ 2, 3, 4 ]

Symmetry type S7 [ 12, 4 ]
  Representation 1, dimension of U_i = 1
    7, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 7 ],  maximals 
  Representation 2, dimension of U_i = 1
    5, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    7, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 5, 7 ],  maximals 5 
  Representation 6, dimension of U_i = 2
    2, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 6, 1 ]
    4, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    7, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 2, 4, 7 ],  maximals 4 
  Possible jumps from S7 [ 4, 5 ]

Symmetry type S8 [ 12, 4 ]
  Representation 1, dimension of U_i = 1
    8, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 8 ],  maximals 
  Representation 2, dimension of U_i = 1
    5, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    8, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 5, 8 ],  maximals 5 
  Representation 5, dimension of U_i = 2
    1, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 12, 4 ]
    2, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    3, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    8, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 2, 3, 8 ],  maximals 2 3 
  Possible jumps from S8 [ 2, 3, 5 ]

Symmetry type S9 [ 24, 12 ]
  Representation 1, dimension of U_i = 1
    9, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 9 ],  maximals 
  Representation 5, dimension of U_i = 3
    1, dim  Fix_P(U) K = 3, dim  Fix_U_i K = 3, N_H(K)/K [ 24, 12 ]
    2, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 2, 1 ]
    4, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    5, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    9, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 2, 4, 5, 9 ],  maximals 4 5 
  Possible jumps from S9 [ 4, 5 ]

Symmetry type S10 [ 120, 34 ]
  Representation 1, dimension of U_i = 1
    10, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 10 ],  maximals 
  Representation 4, dimension of U_i = 4
    1, dim  Fix_P(U) K = 4, dim  Fix_U_i K = 4, N_H(K)/K [ 120, 34 ]
    2, dim  Fix_P(U) K = 3, dim  Fix_U_i K = 3, N_H(K)/K [ 6, 1 ]
    4, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 2, 1 ]
    5, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 2, 1 ]
    7, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    9, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 1, 1 ]
    10, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 2, 4, 5, 7, 9, 10 ],  maximals 7 9 
  Possible jumps from S10 [ 7, 9 ]

Symmetry type S11 [ 240, 189 ]
  Representation 3, dimension of U_i = 1
    10, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    11, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 10, 11 ],  maximals 10 
  Representation 8, dimension of U_i = 4
    1, dim  Fix_P(U) K = 4, dim  Fix_U_i K = 4, N_H(K)/K [ 240, 189 ]
    2, dim  Fix_P(U) K = 3, dim  Fix_U_i K = 3, N_H(K)/K [ 12, 4 ]
    3, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 8, 3 ]
    4, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 4, 2 ]
    5, dim  Fix_P(U) K = 2, dim  Fix_U_i K = 2, N_H(K)/K [ 4, 2 ]
    6, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    7, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    8, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    9, dim  Fix_P(U) K = 1, dim  Fix_U_i K = 1, N_H(K)/K [ 2, 1 ]
    11, dim  Fix_P(U) K = 0, dim  Fix_U_i K = 0, N_H(K)/K [ 1, 1 ]
    isotropy subgroups [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 11 ],  maximals 6 7 8 9 
  Possible jumps from S11 [ 6, 7, 8, 9, 10 ]

  Possible jumps from S1 [  ]
  Possible jumps from S2 [ 1 ]
  Possible jumps from S3 [ 1 ]
  Possible jumps from S4 [ 2, 2 ]
  Possible jumps from S5 [ 2 ]
  Possible jumps from S6 [ 2, 3, 4 ]
  Possible jumps from S7 [ 4, 5 ]
  Possible jumps from S8 [ 2, 3, 5 ]
  Possible jumps from S9 [ 4, 5 ]
  Possible jumps from S10 [ 7, 9 ]
  Possible jumps from S11 [ 6, 7, 8, 9, 10 ]