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Results (1-50 of 53 matches)

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Refined passport label Genus Group Group order Dimension Signature Generating vectors
6.3-1.0.3-3-3-3-3-3-3-3.3 $6$ $C_3$ $3$ $5$ $[ 0; 3, 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
6.3-1.0.3-3-3-3-3-3-3-3.1 $6$ $C_3$ $3$ $5$ $[ 0; 3, 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
6.3-1.0.3-3-3-3-3-3-3-3.2 $6$ $C_3$ $3$ $5$ $[ 0; 3, 3, 3, 3, 3, 3, 3, 3 ]$ $(1,2,3),\ldots$
6.6-2.0.3-3-3-6-6.4 $6$ $C_6$ $6$ $2$ $[ 0; 3, 3, 3, 6, 6 ]$ $(1,3,2)(4,6,5),\ldots$
6.6-2.0.3-3-3-6-6.1 $6$ $C_6$ $6$ $2$ $[ 0; 3, 3, 3, 6, 6 ]$ $(1,2,3)(4,5,6),\ldots$
6.6-2.0.3-3-3-6-6.2 $6$ $C_6$ $6$ $2$ $[ 0; 3, 3, 3, 6, 6 ]$ $(1,2,3)(4,5,6),\ldots$
6.6-2.0.3-3-3-6-6.3 $6$ $C_6$ $6$ $2$ $[ 0; 3, 3, 3, 6, 6 ]$ $(1,2,3)(4,5,6),\ldots$
6.6-1.0.2-2-3-3-3-3.1 $6$ $S_3$ $6$ $3$ $[ 0; 2, 2, 3, 3, 3, 3 ]$ $(1,4)(2,6)(3,5),\ldots$
6.6-2.0.2-2-3-3-3-3.1 $6$ $C_6$ $6$ $3$ $[ 0; 2, 2, 3, 3, 3, 3 ]$ $(1,4)(2,5)(3,6),\ldots$
6.9-1.0.3-3-9-9.9 $6$ $C_9$ $9$ $1$ $[ 0; 3, 3, 9, 9 ]$ $(1,3,2)(4,6,5)(7,9,8),\ldots$
6.9-1.0.3-3-9-9.8 $6$ $C_9$ $9$ $1$ $[ 0; 3, 3, 9, 9 ]$ $(1,3,2)(4,6,5)(7,9,8),\ldots$
6.9-1.0.3-3-9-9.2 $6$ $C_9$ $9$ $1$ $[ 0; 3, 3, 9, 9 ]$ $(1,2,3)(4,5,6)(7,8,9),\ldots$
6.9-1.0.3-3-9-9.1 $6$ $C_9$ $9$ $1$ $[ 0; 3, 3, 9, 9 ]$ $(1,2,3)(4,5,6)(7,8,9),\ldots$
6.9-1.0.3-3-9-9.7 $6$ $C_9$ $9$ $1$ $[ 0; 3, 3, 9, 9 ]$ $(1,3,2)(4,6,5)(7,9,8),\ldots$
6.9-1.0.3-3-9-9.3 $6$ $C_9$ $9$ $1$ $[ 0; 3, 3, 9, 9 ]$ $(1,2,3)(4,5,6)(7,8,9),\ldots$
6.12-5.0.2-3-6-6.4 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$
6.12-5.0.2-3-6-6.6 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$
6.12-5.0.2-3-6-6.3 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,7)(2,8)(3,9)(4,10)(5,11)(6,12),\ldots$
6.12-5.0.2-3-6-6.5 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,10)(2,11)(3,12)(4,7)(5,8)(6,9),\ldots$
6.12-5.0.2-3-6-6.2 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-5.0.2-3-6-6.1 $6$ $C_2\times C_6$ $12$ $1$ $[ 0; 2, 3, 6, 6 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-4.0.2-2-2-3-3.1 $6$ $D_6$ $12$ $2$ $[ 0; 2, 2, 2, 3, 3 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-5.0.2-2-2-3-3.1 $6$ $C_2\times C_6$ $12$ $2$ $[ 0; 2, 2, 2, 3, 3 ]$ $(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.18-2.0.3-18-18.5 $6$ $C_{18}$ $18$ $0$ $[ 0; 3, 18, 18 ]$ $(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$
6.18-2.0.3-18-18.2 $6$ $C_{18}$ $18$ $0$ $[ 0; 3, 18, 18 ]$ $(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$
6.18-2.0.3-18-18.1 $6$ $C_{18}$ $18$ $0$ $[ 0; 3, 18, 18 ]$ $(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$
6.18-2.0.3-18-18.6 $6$ $C_{18}$ $18$ $0$ $[ 0; 3, 18, 18 ]$ $(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$
6.18-2.0.3-18-18.4 $6$ $C_{18}$ $18$ $0$ $[ 0; 3, 18, 18 ]$ $(1,3,2)(4,6,5)(7,9,8)(10,12,11)(13,15,14)(16,18,17),\ldots$
6.18-2.0.3-18-18.3 $6$ $C_{18}$ $18$ $0$ $[ 0; 3, 18, 18 ]$ $(1,2,3)(4,5,6)(7,8,9)(10,11,12)(13,14,15)(16,17,18),\ldots$
6.18-1.0.2-2-3-9.3 $6$ $D_9$ $18$ $1$ $[ 0; 2, 2, 3, 9 ]$ $(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
6.18-1.0.2-2-3-9.2 $6$ $D_9$ $18$ $1$ $[ 0; 2, 2, 3, 9 ]$ $(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
6.18-1.0.2-2-3-9.1 $6$ $D_9$ $18$ $1$ $[ 0; 2, 2, 3, 9 ]$ $(1,10)(2,12)(3,11)(4,18)(5,17)(6,16)(7,15)(8,14)(9,13),\ldots$
6.21-2.0.3-7-21.1 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,8,15)\cdots(7,14,21),\ldots$
6.21-2.0.3-7-21.2 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,8,15)\cdots(7,14,21),\ldots$
6.21-2.0.3-7-21.3 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,8,15)\cdots(7,14,21),\ldots$
6.21-2.0.3-7-21.4 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,8,15)\cdots(7,14,21),\ldots$
6.21-2.0.3-7-21.5 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,8,15)\cdots(7,14,21),\ldots$
6.21-2.0.3-7-21.7 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,15,8)\cdots(7,21,14),\ldots$
6.21-2.0.3-7-21.8 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,15,8)\cdots(7,21,14),\ldots$
6.21-2.0.3-7-21.9 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,15,8)\cdots(7,21,14),\ldots$
6.21-2.0.3-7-21.10 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,15,8)\cdots(7,21,14),\ldots$
6.21-2.0.3-7-21.11 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,15,8)\cdots(7,21,14),\ldots$
6.21-2.0.3-7-21.12 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,15,8)\cdots(7,21,14),\ldots$
6.21-2.0.3-7-21.6 $6$ $C_{21}$ $21$ $0$ $[ 0; 3, 7, 21 ]$ $(1,8,15)\cdots(7,14,21),\ldots$
6.24-8.0.2-2-3-4.1 $6$ $C_3:D_4$ $24$ $1$ $[ 0; 2, 2, 3, 4 ]$ $(1,7)\cdots(18,24),\ldots$
6.24-6.0.2-2-3-4.1 $6$ $D_{12}$ $24$ $1$ $[ 0; 2, 2, 3, 4 ]$ $(1,13)\cdots(12,20),\ldots$
6.48-15.0.2-6-8.1 $6$ $C_3:D_8$ $48$ $0$ $[ 0; 2, 6, 8 ]$ $(1,25)\cdots(24,41),\ldots$
6.48-15.0.2-6-8.4 $6$ $C_3:D_8$ $48$ $0$ $[ 0; 2, 6, 8 ]$ $(1,25)\cdots(24,41),\ldots$
6.48-15.0.2-6-8.3 $6$ $C_3:D_8$ $48$ $0$ $[ 0; 2, 6, 8 ]$ $(1,25)\cdots(24,41),\ldots$
6.48-15.0.2-6-8.2 $6$ $C_3:D_8$ $48$ $0$ $[ 0; 2, 6, 8 ]$ $(1,25)\cdots(24,41),\ldots$
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