↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (24 matches)

  displayed columns for results

Elements of the group are displayed as permutations of degree 14.

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 11P
$S_3\times \PSL(2,11)$ 1A $1$ $1$ $S_3\times \PSL(2,11)$ 1A 1A 1A 1A $()$
$S_3\times \PSL(2,11)$ 2A $2$ $3$ $C_2\times \PSL(2,11)$ 1A 2A 2A 2A $(12,14)$
$S_3\times \PSL(2,11)$ 2B $2$ $55$ $S_3\times D_6$ 1A 2B 2B 2B $(1,9)(3,6)(4,8)(7,10)$
$S_3\times \PSL(2,11)$ 2C $2$ $165$ $C_2\times D_6$ 1A 2C 2C 2C $(1,4)(2,8)(3,7)(5,6)(13,14)$
$S_3\times \PSL(2,11)$ 3A $3$ $2$ $C_3\times \PSL(2,11)$ 3A 1A 3A 3A $(12,13,14)$
$S_3\times \PSL(2,11)$ 3B $3$ $110$ $C_6\times S_3$ 3B 1A 3B 3B $(2,5,3)(6,7,8)(9,10,11)$
$S_3\times \PSL(2,11)$ 3C $3$ $220$ $C_3\times C_6$ 3C 1A 3C 3C $(1,6,7)(2,11,5)(3,10,9)(12,14,13)$
$S_3\times \PSL(2,11)$ 5A1 $5$ $132$ $C_5\times S_3$ 5A2 5A2 1A 5A1 $(1,10,8,5,11)(2,4,6,7,3)$
$S_3\times \PSL(2,11)$ 5A2 $5$ $132$ $C_5\times S_3$ 5A1 5A1 1A 5A2 $(1,8,11,10,5)(2,6,3,4,7)$
$S_3\times \PSL(2,11)$ 6A $6$ $110$ $C_6\times S_3$ 3A 2B 6A 6A $(2,10)(3,8)(4,11)(7,9)(12,13,14)$
$S_3\times \PSL(2,11)$ 6B $6$ $110$ $C_6\times S_3$ 3B 2B 6B 6B $(1,7,3,9,2,11)(4,5)(6,10,8)$
$S_3\times \PSL(2,11)$ 6C $6$ $220$ $C_3\times C_6$ 3C 2B 6C 6C $(1,10,6,9,7,3)(2,5,11)(4,8)(12,13,14)$
$S_3\times \PSL(2,11)$ 6D $6$ $330$ $C_2\times C_6$ 3B 2C 6D 6D $(1,4)(2,7,5,8,3,6)(9,11,10)(13,14)$
$S_3\times \PSL(2,11)$ 6E $6$ $330$ $C_2\times C_6$ 3B 2A 6E 6E $(1,2,11)(4,8,9)(5,7,6)(12,14)$
$S_3\times \PSL(2,11)$ 10A1 $10$ $396$ $C_{10}$ 5A1 10A3 2A 10A1 $(1,2,7,9,10)(3,11,4,8,5)(12,14)$
$S_3\times \PSL(2,11)$ 10A3 $10$ $396$ $C_{10}$ 5A2 10A1 2A 10A3 $(1,9,2,10,7)(3,8,11,5,4)(12,14)$
$S_3\times \PSL(2,11)$ 11A1 $11$ $60$ $S_3\times C_{11}$ 11A-1 11A1 11A1 1A $(1,2,3,11,6,10,5,8,9,4,7)$
$S_3\times \PSL(2,11)$ 11A-1 $11$ $60$ $S_3\times C_{11}$ 11A1 11A-1 11A-1 1A $(1,7,4,9,8,5,10,6,11,3,2)$
$S_3\times \PSL(2,11)$ 15A1 $15$ $264$ $C_{15}$ 15A2 5A1 3A 15A1 $(1,8,11,10,5)(2,6,3,4,7)(12,14,13)$
$S_3\times \PSL(2,11)$ 15A2 $15$ $264$ $C_{15}$ 15A1 5A2 3A 15A2 $(1,11,5,8,10)(2,3,7,6,4)(12,13,14)$
$S_3\times \PSL(2,11)$ 22A1 $22$ $180$ $C_{22}$ 11A1 22A1 22A1 2A $(1,5,2,8,3,9,11,4,6,7,10)(12,14)$
$S_3\times \PSL(2,11)$ 22A-1 $22$ $180$ $C_{22}$ 11A-1 22A-1 22A-1 2A $(1,10,7,6,4,11,9,3,8,2,5)(12,14)$
$S_3\times \PSL(2,11)$ 33A1 $33$ $120$ $C_{33}$ 33A-1 11A-1 33A1 3A $(1,5,3,10,4,6,8,2,7,9,11)(12,14,13)$
$S_3\times \PSL(2,11)$ 33A-1 $33$ $120$ $C_{33}$ 33A1 11A1 33A-1 3A $(1,11,9,7,2,8,6,4,10,3,5)(12,13,14)$
  displayed columns for results