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Refined passport label Genus Group Group order Dimension Signature Generating vectors
3.2-1.0.2-2-2-2-2-2-2-2.1 $3$ $C_2$ $2$ $5$ $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$ $(1,2),\ldots$
3.2-1.1.2-2-2-2.1 $3$ $C_2$ $2$ $4$ $[ 1; 2, 2, 2, 2 ]$ $(1,2),\ldots$
3.2-1.2.0.1 $3$ $C_2$ $2$ $3$ $[ 2; -]$ $(1,2),\ldots$
3.3-1.0.3-3-3-3-3.2 $3$ $C_3$ $3$ $2$ $[ 0; 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
3.3-1.0.3-3-3-3-3.1 $3$ $C_3$ $3$ $2$ $[ 0; 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
3.3-1.1.3-3.1 $3$ $C_3$ $3$ $2$ $[ 1; 3, 3 ]$ $(1,2,3),\ldots$
3.4-1.0.4-4-4-4.2 $3$ $C_4$ $4$ $1$ $[ 0; 4, 4, 4, 4 ]$ $(1,3,2,4),\ldots$
3.4-1.0.4-4-4-4.3 $3$ $C_4$ $4$ $1$ $[ 0; 4, 4, 4, 4 ]$ $(1,4,2,3),\ldots$
3.4-1.0.4-4-4-4.1 $3$ $C_4$ $4$ $1$ $[ 0; 4, 4, 4, 4 ]$ $(1,3,2,4),\ldots$
3.4-1.0.2-2-2-4-4.1 $3$ $C_4$ $4$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$ $(1,2)(3,4),\ldots$
3.4-1.0.2-2-2-4-4.2 $3$ $C_4$ $4$ $2$ $[ 0; 2, 2, 2, 4, 4 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.2 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.4 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.5 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.3 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.6 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,3)(2,4),\ldots$
3.4-2.0.2-2-2-2-2-2.1 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.0.2-2-2-2-2-2.7 $3$ $C_2^2$ $4$ $3$ $[ 0; 2, 2, 2, 2, 2, 2 ]$ $(1,3)(2,4),\ldots$
3.4-1.1.2-2.1 $3$ $C_4$ $4$ $2$ $[ 1; 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.1.2-2.3 $3$ $C_2^2$ $4$ $2$ $[ 1; 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.1.2-2.1 $3$ $C_2^2$ $4$ $2$ $[ 1; 2, 2 ]$ $(1,2)(3,4),\ldots$
3.4-2.1.2-2.2 $3$ $C_2^2$ $4$ $2$ $[ 1; 2, 2 ]$ $(1,2)(3,4),\ldots$
3.6-2.0.2-3-3-6.2 $3$ $C_6$ $6$ $1$ $[ 0; 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
3.6-2.0.2-2-6-6.1 $3$ $C_6$ $6$ $1$ $[ 0; 2, 2, 6, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
3.6-2.0.2-3-3-6.1 $3$ $C_6$ $6$ $1$ $[ 0; 2, 3, 3, 6 ]$ $(1,4)(2,5)(3,6),\ldots$
3.6-1.0.2-2-2-2-3.1 $3$ $S_3$ $6$ $2$ $[ 0; 2, 2, 2, 2, 3 ]$ $(1,4)(2,6)(3,5),\ldots$
3.6-1.1.3.1 $3$ $S_3$ $6$ $1$ $[ 1; 3 ]$ $(1,4)(2,6)(3,5),\ldots$
3.7-1.0.7-7-7.2 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,2,3,4,5,6,7),\ldots$
3.7-1.0.7-7-7.3 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,2,3,4,5,6,7),\ldots$
3.7-1.0.7-7-7.4 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,3,5,7,2,4,6),\ldots$
3.7-1.0.7-7-7.5 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,3,5,7,2,4,6),\ldots$
3.7-1.0.7-7-7.8 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,5,2,6,3,7,4),\ldots$
3.7-1.0.7-7-7.1 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,2,3,4,5,6,7),\ldots$
3.7-1.0.7-7-7.6 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,4,7,3,6,2,5),\ldots$
3.7-1.0.7-7-7.7 $3$ $C_7$ $7$ $0$ $[ 0; 7, 7, 7 ]$ $(1,5,2,6,3,7,4),\ldots$
3.8-1.0.4-8-8.4 $3$ $C_8$ $8$ $0$ $[ 0; 4, 8, 8 ]$ $(1,4,2,3)(5,8,6,7),\ldots$
3.8-1.0.4-8-8.1 $3$ $C_8$ $8$ $0$ $[ 0; 4, 8, 8 ]$ $(1,3,2,4)(5,7,6,8),\ldots$
3.8-1.0.4-8-8.6 $3$ $C_8$ $8$ $0$ $[ 0; 4, 8, 8 ]$ $(1,4,2,3)(5,8,6,7),\ldots$
3.8-1.0.4-8-8.3 $3$ $C_8$ $8$ $0$ $[ 0; 4, 8, 8 ]$ $(1,3,2,4)(5,7,6,8),\ldots$
3.8-1.0.4-8-8.2 $3$ $C_8$ $8$ $0$ $[ 0; 4, 8, 8 ]$ $(1,3,2,4)(5,7,6,8),\ldots$
3.8-1.0.4-8-8.5 $3$ $C_8$ $8$ $0$ $[ 0; 4, 8, 8 ]$ $(1,4,2,3)(5,8,6,7),\ldots$
3.8-2.0.2-2-4-4.5 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-2.0.2-2-4-4.11 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
3.8-2.0.2-2-4-4.12 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,4)(2,3)(5,8)(6,7),\ldots$
3.8-2.0.2-2-4-4.4 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-2.0.2-2-4-4.10 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
3.8-3.0.2-2-4-4.2 $3$ $D_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,5)(2,6)(3,8)(4,7),\ldots$
3.8-2.0.2-2-4-4.3 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-2.0.2-2-4-4.2 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,2)(3,4)(5,6)(7,8),\ldots$
3.8-2.0.2-2-4-4.7 $3$ $C_2\times C_4$ $8$ $1$ $[ 0; 2, 2, 4, 4 ]$ $(1,3)(2,4)(5,7)(6,8),\ldots$
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