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Results (25 matches)

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Elements of the group are displayed as permutations of degree 9.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P
$S_4\times A_5$ 1A $1$ $1$ $S_4\times A_5$ 1A 1A 1A $()$
$S_4\times A_5$ 2A $2$ $3$ $D_4\times A_5$ 1A 2A 2A $(6,9)(7,8)$
$S_4\times A_5$ 2B $2$ $6$ $C_2^2\times A_5$ 1A 2B 2B $(6,8)$
$S_4\times A_5$ 2C $2$ $15$ $C_2^2\times S_4$ 1A 2C 2C $(1,2)(3,4)$
$S_4\times A_5$ 2D $2$ $45$ $C_2^2\times D_4$ 1A 2D 2D $(1,3)(4,5)(6,7)(8,9)$
$S_4\times A_5$ 2E $2$ $90$ $C_2^4$ 1A 2E 2E $(2,5)(3,4)(6,7)$
$S_4\times A_5$ 3A $3$ $8$ $\GL(2,4)$ 3A 1A 3A $(6,9,8)$
$S_4\times A_5$ 3B $3$ $20$ $C_3\times S_4$ 3B 1A 3B $(2,5,3)$
$S_4\times A_5$ 3C $3$ $160$ $C_3^2$ 3C 1A 3C $(1,5,3)(6,9,7)$
$S_4\times A_5$ 4A $4$ $6$ $C_4\times A_5$ 2A 4A 4A $(6,7,9,8)$
$S_4\times A_5$ 4B $4$ $90$ $C_2^2\times C_4$ 2A 4B 4B $(1,5)(3,4)(6,7,9,8)$
$S_4\times A_5$ 5A1 $5$ $12$ $C_5\times S_4$ 5A2 5A2 1A $(1,2,3,5,4)$
$S_4\times A_5$ 5A2 $5$ $12$ $C_5\times S_4$ 5A1 5A1 1A $(1,3,4,2,5)$
$S_4\times A_5$ 6A $6$ $60$ $C_3\times D_4$ 3B 2A 6A $(2,3,5)(6,9)(7,8)$
$S_4\times A_5$ 6B $6$ $120$ $C_2\times C_6$ 3B 2B 6B $(1,2,3)(6,8)$
$S_4\times A_5$ 6C $6$ $120$ $C_2\times C_6$ 3A 2C 6C $(1,2)(3,4)(6,9,8)$
$S_4\times A_5$ 10A1 $10$ $36$ $C_5\times D_4$ 5A2 10A3 2A $(1,2,4,3,5)(6,8)(7,9)$
$S_4\times A_5$ 10A3 $10$ $36$ $C_5\times D_4$ 5A1 10A1 2A $(1,3,2,5,4)(6,8)(7,9)$
$S_4\times A_5$ 10B1 $10$ $72$ $C_2\times C_{10}$ 5A1 10B3 2B $(1,5,4,3,2)(8,9)$
$S_4\times A_5$ 10B3 $10$ $72$ $C_2\times C_{10}$ 5A2 10B1 2B $(1,3,5,2,4)(8,9)$
$S_4\times A_5$ 12A $12$ $120$ $C_{12}$ 6A 4A 12A $(2,5,3)(6,8,9,7)$
$S_4\times A_5$ 15A1 $15$ $96$ $C_{15}$ 15A2 5A1 3A $(1,3,4,2,5)(6,8,9)$
$S_4\times A_5$ 15A2 $15$ $96$ $C_{15}$ 15A1 5A2 3A $(1,4,5,3,2)(6,9,8)$
$S_4\times A_5$ 20A1 $20$ $72$ $C_{20}$ 10A1 20A3 4A $(1,3,2,5,4)(6,9,8,7)$
$S_4\times A_5$ 20A3 $20$ $72$ $C_{20}$ 10A3 20A1 4A $(1,5,3,4,2)(6,7,8,9)$
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