↑

Learn more

Refine search

Group Order Size
Sort order Select

Results (1-50 of 156 matches)

Next   displayed columns for results

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

Group Label Order Size Centralizer Powers Representative
2P 3P 5P 7P 11P 13P 17P
$A_{17}$ 1A $1$ $1$ not computed 1A 1A 1A 1A 1A 1A 1A $()$
$A_{17}$ 2A $2$ $7140$ not computed 1A 2A 2A 2A 2A 2A 2A $(5,14)(10,17)$
$A_{17}$ 2B $2$ $2552550$ not computed 1A 2B 2B 2B 2B 2B 2B $(1,2)(6,17)(7,11)(15,16)$
$A_{17}$ 2C $2$ $34459425$ not computed 1A 2C 2C 2C 2C 2C 2C $(1,4)(2,9)(3,11)(5,10)(6,8)(7,15)(12,14)(13,16)$
$A_{17}$ 2D $2$ $64324260$ not computed 1A 2D 2D 2D 2D 2D 2D $(1,11)(3,10)(4,13)(5,8)(7,16)(14,17)$
$A_{17}$ 3A $3$ $1360$ not computed 3A 1A 3A 3A 3A 3A 3A $(4,8,15)$
$A_{17}$ 3B $3$ $495040$ not computed 3B 1A 3B 3B 3B 3B 3B $(1,5,17)(8,14,11)$
$A_{17}$ 3C $3$ $54454400$ not computed 3C 1A 3C 3C 3C 3C 3C $(1,11,3)(6,13,15)(7,12,16)$
$A_{17}$ 3D $3$ $1524723200$ not computed 3D 1A 3D 3D 3D 3D 3D $(1,8,15)(2,7,5)(4,16,14)(6,13,17)$
$A_{17}$ 3E $3$ $6098892800$ not computed 3E 1A 3E 3E 3E 3E 3E $(1,11,16)(2,17,4)(5,9,15)(6,8,10)(7,12,13)$
$A_{17}$ 4A $4$ $1113840$ not computed 2A 4A 4A 4A 4A 4A 4A $(4,10)(6,15,9,7)$
$A_{17}$ 4B $4$ $30630600$ not computed 2B 4B 4B 4B 4B 4B 4B $(1,15,2,16)(6,7,17,11)$
$A_{17}$ 4C $4$ $367567200$ not computed 2A 4C 4C 4C 4C 4C 4C $(2,11)(3,9)(5,17,14,10)(6,13)$
$A_{17}$ 4D $4$ $3859455600$ not computed 2A 4D 4D 4D 4D 4D 4D $(1,9,4,12)(3,6)(5,16)(7,10)(11,13)(15,17)$
$A_{17}$ 4E $4$ $11578366800$ not computed 2B 4E 4E 4E 4E 4E 4E $(2,15)(3,5,6,17)(4,14,10,7)(9,16)$
$A_{17}$ 4F $4$ $28945917000$ not computed 2B 4F 4F 4F 4F 4F 4F $(1,6)(2,4)(5,17)(7,12,16,14)(8,11,9,15)(10,13)$
$A_{17}$ 4G $4$ $57891834000$ not computed 2C 4G 4G 4G 4G 4G 4G $(1,13,4,16)(2,6,9,8)(3,14,11,12)(5,7,10,15)$
$A_{17}$ 4H $4$ $77189112000$ not computed 2D 4H 4H 4H 4H 4H 4H $(1,15,2,12)(3,14)(4,7,16,9)(5,17,13,11)$
$A_{17}$ 5A $5$ $148512$ not computed 5A 5A 1A 5A 5A 5A 5A $(2,12,6,15,9)$
$A_{17}$ 5B $5$ $1411458048$ not computed 5B 5B 1A 5B 5B 5B 5B $(2,7,12,11,5)(6,13,16,17,9)$
$A_{17}$ 5C $5$ $237124952064$ not computed 5C 5C 1A 5C 5C 5C 5C $(1,8,6,5,3)(2,16,7,13,14)(4,10,11,15,17)$
$A_{17}$ 6A $6$ $4084080$ not computed 3A 2A 6A 6A 6A 6A 6A $(4,15,8)(5,14)(10,17)$
$A_{17}$ 6B $6$ $81681600$ not computed 3B 2B 6B 6B 6B 6B 6B $(2,12,10,17,16,9)(3,7)$
$A_{17}$ 6C $6$ $428828400$ not computed 3A 2B 6C 6C 6C 6C 6C $(1,12,11)(3,6)(4,10)(5,17)(7,14)$
$A_{17}$ 6D $6$ $490089600$ not computed 3B 2A 6D 6D 6D 6D 6D $(1,15,7)(3,10)(5,11,13)(6,8)$
$A_{17}$ 6E $6$ $1286485200$ not computed 3A 2D 6E 6E 6E 6E 6E $(1,16)(2,4)(3,14,13)(5,17)(6,11)(7,8)(10,15)$
$A_{17}$ 6F $6$ $5717712000$ not computed 3C 2B 6F 6F 6F 6F 6F $(1,3,14)(2,8)(4,5)(6,16,13)(7,11)(9,12)(10,17,15)$
$A_{17}$ 6G $6$ $8576568000$ not computed 3B 2B 6G 6G 6G 6G 6G $(1,10)(2,11,3)(4,16)(5,12)(6,13,15)(8,17)$
$A_{17}$ 6H $6$ $10291881600$ not computed 3B 2D 6H 6H 6H 6H 6H $(1,14,5,11,17,8)(3,10)(4,13)(7,16)$
$A_{17}$ 6I $6$ $11435424000$ not computed 3C 2A 6I 6I 6I 6I 6I $(1,11,17)(3,5,16)(6,9)(7,15)(8,14,12)$
$A_{17}$ 6J $6$ $13722508800$ not computed 3C 2B 6J 6J 6J 6J 6J $(1,7,3,14,4,13)(2,10)(9,15,17)$
$A_{17}$ 6K $6$ $15437822400$ not computed 3B 2C 6K 6K 6K 6K 6K $(1,15,3,10,4,14)(2,17)(5,16)(6,12)(7,9)(11,13)$
$A_{17}$ 6L $6$ $22870848000$ not computed 3D 2A 6L 6L 6L 6L 6L $(1,5,7)(2,17,10)(3,16)(4,11,9)(6,8,14)(12,15)$
$A_{17}$ 6M $6$ $41167526400$ not computed 3D 2D 6M 6M 6M 6M 6M $(1,4,8,16,15,14)(2,17,7,6,5,13)$
$A_{17}$ 6N $6$ $182966784000$ not computed 3E 2B 6N 6N 6N 6N 6N $(1,10,15)(2,3,17,5,6,11)(4,13,8)(7,9,12)(14,16)$
$A_{17}$ 6O $6$ $205837632000$ not computed 3C 2D 6O 6O 6O 6O 6O $(1,8,15)(2,12)(3,4)(5,14,11,10,17,7)(13,16)$
$A_{17}$ 6P $6$ $274450176000$ not computed 3D 2B 6P 6P 6P 6P 6P $(1,7)(2,16,14)(3,9,11)(6,13,17,8,10,12)$
$A_{17}$ 6Q $6$ $617512896000$ not computed 3D 2C 6Q 6Q 6Q 6Q 6Q $(1,4)(2,14,10,9,12,5)(3,7,6,11,15,8)(13,16)$
$A_{17}$ 6R $6$ $823350528000$ not computed 3E 2D 6R 6R 6R 6R 6R $(1,4,11,2,16,17)(5,12,9,13,15,7)(6,10,8)$
$A_{17}$ 7A $7$ $14002560$ not computed 7A 7A 7A 1A 7A 7A 7A $(2,8,10,5,17,9,4)$
$A_{17}$ 7B $7$ $604910592000$ not computed 7B 7B 7B 1A 7B 7B 7B $(1,5,9,13,6,16,14)(2,17,3,4,11,7,10)$
$A_{17}$ 8A $8$ $4410806400$ not computed 4B 8A 8A 8A 8A 8A 8A $(1,7,15,17,2,11,16,6)(3,13)$
$A_{17}$ 8B $8$ $92626934400$ not computed 4E 8B 8B 8B 8B 8B 8B $(2,16,15,9)(3,7,5,4,6,14,17,10)$
$A_{17}$ 8C $8$ $154378224000$ not computed 4B 8C 8C 8C 8C 8C 8C $(1,13,8,14,16,5,2,15)(3,9)(4,7)(6,12)$
$A_{17}$ 8D $8$ $1389404016000$ not computed 4E 8D 8D 8D 8D 8D 8D $(1,7,14,8,16,3,12,15)(2,9,17,13)(4,10)(5,11)$
$A_{17}$ 8E $8$ $2778808032000$ not computed 4G 8E 8E 8E 8E 8E 8E $(1,4,9,15,14,6,5,16)(2,12,3,7,11,13,8,10)$
$A_{17}$ 9A $9$ $980179200$ not computed 9A 3C 9A 9A 9A 9A 9A $(1,13,7,11,15,12,3,6,16)$
$A_{17}$ 9B $9$ $109780070400$ not computed 9B 3C 9B 9B 9B 9B 9B $(1,2,9,17,3,12,8,10,15)(7,14,13)$
$A_{17}$ 9C $9$ $1097800704000$ not computed 9C 3C 9C 9C 9C 9C 9C $(1,10,16,14,15,6,3,17,13)(2,11,5)(4,8,7)$
$A_{17}$ 10A $10$ $220540320$ not computed 5A 10A 2A 10A 10A 10A 10A $(2,15)(4,12,16,17,10)(6,13)$
Next   displayed columns for results