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Results (16 matches)

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Elements of the group are displayed as permutations of degree 17.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 17P
$\SOMinus(4,4)$ 1A $1$ $1$ $\SOMinus(4,4)$ 1A 1A 1A 1A $()$
$\SOMinus(4,4)$ 2A $2$ $68$ $C_2\times A_5$ 1A 2A 2A 2A $(1,7)(2,6)(3,9)(11,16)(12,15)(14,17)$
$\SOMinus(4,4)$ 2B $2$ $255$ $C_2^2\wr C_2$ 1A 2B 2B 2B $(1,7)(2,16)(3,15)(4,13)(5,10)(6,11)(9,12)(14,17)$
$\SOMinus(4,4)$ 3A $3$ $272$ $C_3\times D_5$ 3A 1A 3A 3A $(2,10,12)(3,11,5)(4,9,6)(7,17,14)(13,15,16)$
$\SOMinus(4,4)$ 4A $4$ $1020$ $C_2\times C_4$ 2B 4A 4A 4A $(1,4,7,13)(2,12,16,9)(3,11,15,6)(5,14,10,17)$
$\SOMinus(4,4)$ 5A1 $5$ $272$ $C_5\times S_3$ 5A2 5A2 1A 5A2 $(2,17,11,4,13)(3,6,16,12,7)(5,9,15,10,14)$
$\SOMinus(4,4)$ 5A2 $5$ $272$ $C_5\times S_3$ 5A1 5A1 1A 5A1 $(2,11,13,17,4)(3,16,7,6,12)(5,15,14,9,10)$
$\SOMinus(4,4)$ 6A $6$ $1360$ $C_6$ 3A 2A 6A 6A $(1,6,14,7,2,17)(3,11,15,9,16,12)(8,13,10)$
$\SOMinus(4,4)$ 10A1 $10$ $816$ $C_{10}$ 5A1 10A3 2A 10A3 $(1,12,7,4,13,8,2,17,6,16)(3,11)(5,14,15,10,9)$
$\SOMinus(4,4)$ 10A3 $10$ $816$ $C_{10}$ 5A2 10A1 2A 10A1 $(1,4,2,16,7,8,6,12,13,17)(3,11)(5,10,14,9,15)$
$\SOMinus(4,4)$ 15A1 $15$ $544$ $C_{15}$ 15A2 5A1 3A 15A2 $(2,3,15,17,6,10,11,16,14,4,12,5,13,7,9)$
$\SOMinus(4,4)$ 15A2 $15$ $544$ $C_{15}$ 15A1 5A2 3A 15A1 $(2,15,6,11,14,12,13,9,3,17,10,16,4,5,7)$
$\SOMinus(4,4)$ 17A1 $17$ $480$ $C_{17}$ 17A2 17A3 17A3 1A $(1,11,3,2,10,16,5,14,13,9,6,17,7,8,12,15,4)$
$\SOMinus(4,4)$ 17A2 $17$ $480$ $C_{17}$ 17A1 17A6 17A6 1A $(1,3,10,5,13,6,7,12,4,11,2,16,14,9,17,8,15)$
$\SOMinus(4,4)$ 17A3 $17$ $480$ $C_{17}$ 17A6 17A2 17A2 1A $(1,2,5,9,7,15,11,10,14,6,8,4,3,16,13,17,12)$
$\SOMinus(4,4)$ 17A6 $17$ $480$ $C_{17}$ 17A3 17A1 17A1 1A $(1,5,7,11,14,8,3,13,12,2,9,15,10,6,4,16,17)$
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