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Note: Search results may be incomplete due to uncomputed quantities: Outer aut. group order (4830 objects)

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Results (1-50 of 173 matches)

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Label Name Order Exponent $\card{\mathrm{conj}(G)}$ Center Central quotient Commutator Abelianization Type - length
2494.1 $C_{43}\times D_{29}$ $2 \cdot 29 \cdot 43$ $2 \cdot 29 \cdot 43$ $688$ $C_{43}$ $D_{29}$ $C_{29}$ $C_{86}$ Solvable - 2
2522.1 $D_{13}\times C_{97}$ $2 \cdot 13 \cdot 97$ $2 \cdot 13 \cdot 97$ $776$ $C_{97}$ $D_{13}$ $C_{13}$ $C_{194}$ Solvable - 2
2710.4 $C_5\times D_{271}$ $2 \cdot 5 \cdot 271$ $2 \cdot 5 \cdot 271$ $685$ $C_5$ $D_{271}$ $C_{271}$ $C_{10}$ Solvable - 2
2758.4 $C_7\times D_{197}$ $2 \cdot 7 \cdot 197$ $2 \cdot 7 \cdot 197$ $700$ $C_7$ $D_{197}$ $C_{197}$ $C_{14}$ Solvable - 2
2806.1 $D_{23}\times C_{61}$ $2 \cdot 23 \cdot 61$ $2 \cdot 23 \cdot 61$ $793$ $C_{61}$ $D_{23}$ $C_{23}$ $C_{122}$ Solvable - 2
2810.4 $C_5\times D_{281}$ $2 \cdot 5 \cdot 281$ $2 \cdot 5 \cdot 281$ $710$ $C_5$ $D_{281}$ $C_{281}$ $C_{10}$ Solvable - 2
2882.1 $D_{11}\times C_{131}$ $2 \cdot 11 \cdot 131$ $2 \cdot 11 \cdot 131$ $917$ $C_{131}$ $D_{11}$ $C_{11}$ $C_{262}$ Solvable - 2
2926.5 $D_7\times C_{209}$ $2 \cdot 7 \cdot 11 \cdot 19$ $2 \cdot 7 \cdot 11 \cdot 19$ $1045$ $C_{209}$ $D_7$ $C_7$ $C_{418}$ Solvable - 2
2954.4 $C_7\times D_{211}$ $2 \cdot 7 \cdot 211$ $2 \cdot 7 \cdot 211$ $749$ $C_7$ $D_{211}$ $C_{211}$ $C_{14}$ Solvable - 2
3110.4 $C_5\times D_{311}$ $2 \cdot 5 \cdot 311$ $2 \cdot 5 \cdot 311$ $785$ $C_5$ $D_{311}$ $C_{311}$ $C_{10}$ Solvable - 2
3290.2 $C_{35}\times D_{47}$ $2 \cdot 5 \cdot 7 \cdot 47$ $2 \cdot 5 \cdot 7 \cdot 47$ $875$ $C_{35}$ $D_{47}$ $C_{47}$ $C_{70}$ Solvable - 2
3310.4 $C_5\times D_{331}$ $2 \cdot 5 \cdot 331$ $2 \cdot 5 \cdot 331$ $835$ $C_5$ $D_{331}$ $C_{331}$ $C_{10}$ Solvable - 2
3346.4 $C_7\times D_{239}$ $2 \cdot 7 \cdot 239$ $2 \cdot 7 \cdot 239$ $847$ $C_7$ $D_{239}$ $C_{239}$ $C_{14}$ Solvable - 2
3406.4 $C_{13}\times D_{131}$ $2 \cdot 13 \cdot 131$ $2 \cdot 13 \cdot 131$ $871$ $C_{13}$ $D_{131}$ $C_{131}$ $C_{26}$ Solvable - 2
3422.4 $C_{29}\times D_{59}$ $2 \cdot 29 \cdot 59$ $2 \cdot 29 \cdot 59$ $899$ $C_{29}$ $D_{59}$ $C_{59}$ $C_{58}$ Solvable - 2
3502.4 $C_{17}\times D_{103}$ $2 \cdot 17 \cdot 103$ $2 \cdot 17 \cdot 103$ $901$ $C_{17}$ $D_{103}$ $C_{103}$ $C_{34}$ Solvable - 2
3542.8 $C_{23}\times D_{77}$ $2 \cdot 7 \cdot 11 \cdot 23$ $2 \cdot 7 \cdot 11 \cdot 23$ $920$ $C_{23}$ $D_{77}$ $C_{77}$ $C_{46}$ Solvable - 2
3710.2 $C_{35}\times D_{53}$ $2 \cdot 5 \cdot 7 \cdot 53$ $2 \cdot 5 \cdot 7 \cdot 53$ $980$ $C_{35}$ $D_{53}$ $C_{53}$ $C_{70}$ Solvable - 2
3774.7 $C_{17}\times D_{111}$ $2 \cdot 3 \cdot 17 \cdot 37$ $2 \cdot 3 \cdot 17 \cdot 37$ $969$ $C_{17}$ $D_{111}$ $C_{111}$ $C_{34}$ Solvable - 2
3894.6 $C_{11}\times D_{177}$ $2 \cdot 3 \cdot 11 \cdot 59$ $2 \cdot 3 \cdot 11 \cdot 59$ $990$ $C_{11}$ $D_{177}$ $C_{177}$ $C_{22}$ Solvable - 2
3934.4 $C_7\times D_{281}$ $2 \cdot 7 \cdot 281$ $2 \cdot 7 \cdot 281$ $994$ $C_7$ $D_{281}$ $C_{281}$ $C_{14}$ Solvable - 2
4010.4 $C_5\times D_{401}$ $2 \cdot 5 \cdot 401$ $2 \cdot 5 \cdot 401$ $1010$ $C_5$ $D_{401}$ $C_{401}$ $C_{10}$ Solvable - 2
4030.4 $D_{13}\times C_{155}$ $2 \cdot 5 \cdot 13 \cdot 31$ $2 \cdot 5 \cdot 13 \cdot 31$ $1240$ $C_{155}$ $D_{13}$ $C_{13}$ $C_{310}$ Solvable - 2
4082.4 $C_{13}\times D_{157}$ $2 \cdot 13 \cdot 157$ $2 \cdot 13 \cdot 157$ $1040$ $C_{13}$ $D_{157}$ $C_{157}$ $C_{26}$ Solvable - 2
4182.2 $C_{51}\times D_{41}$ $2 \cdot 3 \cdot 17 \cdot 41$ $2 \cdot 3 \cdot 17 \cdot 41$ $1122$ $C_{51}$ $D_{41}$ $C_{41}$ $C_{102}$ Solvable - 2
4210.4 $C_5\times D_{421}$ $2 \cdot 5 \cdot 421$ $2 \cdot 5 \cdot 421$ $1060$ $C_5$ $D_{421}$ $C_{421}$ $C_{10}$ Solvable - 2
4294.1 $D_{19}\times C_{113}$ $2 \cdot 19 \cdot 113$ $2 \cdot 19 \cdot 113$ $1243$ $C_{113}$ $D_{19}$ $C_{19}$ $C_{226}$ Solvable - 2
4310.4 $C_5\times D_{431}$ $2 \cdot 5 \cdot 431$ $2 \cdot 5 \cdot 431$ $1085$ $C_5$ $D_{431}$ $C_{431}$ $C_{10}$ Solvable - 2
4370.6 $C_{19}\times D_{115}$ $2 \cdot 5 \cdot 19 \cdot 23$ $2 \cdot 5 \cdot 19 \cdot 23$ $1121$ $C_{19}$ $D_{115}$ $C_{115}$ $C_{38}$ Solvable - 2
4378.4 $C_{11}\times D_{199}$ $2 \cdot 11 \cdot 199$ $2 \cdot 11 \cdot 199$ $1111$ $C_{11}$ $D_{199}$ $C_{199}$ $C_{22}$ Solvable - 2
4422.5 $C_{33}\times D_{67}$ $2 \cdot 3 \cdot 11 \cdot 67$ $2 \cdot 3 \cdot 11 \cdot 67$ $1155$ $C_{33}$ $D_{67}$ $C_{67}$ $C_{66}$ Solvable - 2
4466.3 $D_{29}\times C_{77}$ $2 \cdot 7 \cdot 11 \cdot 29$ $2 \cdot 7 \cdot 11 \cdot 29$ $1232$ $C_{77}$ $D_{29}$ $C_{29}$ $C_{154}$ Solvable - 2
4530.5 $C_{15}\times D_{151}$ $2 \cdot 3 \cdot 5 \cdot 151$ $2 \cdot 3 \cdot 5 \cdot 151$ $1155$ $C_{15}$ $D_{151}$ $C_{151}$ $C_{30}$ Solvable - 2
4610.4 $C_5\times D_{461}$ $2 \cdot 5 \cdot 461$ $2 \cdot 5 \cdot 461$ $1160$ $C_5$ $D_{461}$ $C_{461}$ $C_{10}$ Solvable - 2
4658.4 $C_{17}\times D_{137}$ $2 \cdot 17 \cdot 137$ $2 \cdot 17 \cdot 137$ $1190$ $C_{17}$ $D_{137}$ $C_{137}$ $C_{34}$ Solvable - 2
4718.4 $C_7\times D_{337}$ $2 \cdot 7 \cdot 337$ $2 \cdot 7 \cdot 337$ $1190$ $C_7$ $D_{337}$ $C_{337}$ $C_{14}$ Solvable - 2
4818.4 $D_{11}\times C_{219}$ $2 \cdot 3 \cdot 11 \cdot 73$ $2 \cdot 3 \cdot 11 \cdot 73$ $1533$ $C_{219}$ $D_{11}$ $C_{11}$ $C_{438}$ Solvable - 2
4830.8 $C_{69}\times D_{35}$ $2 \cdot 3 \cdot 5 \cdot 7 \cdot 23$ $2 \cdot 3 \cdot 5 \cdot 7 \cdot 23$ $1311$ $C_{69}$ $D_{35}$ $C_{35}$ $C_{138}$ Solvable - 2
4830.12 $D_{21}\times C_{115}$ $2 \cdot 3 \cdot 5 \cdot 7 \cdot 23$ $2 \cdot 3 \cdot 5 \cdot 7 \cdot 23$ $1380$ $C_{115}$ $D_{21}$ $C_{21}$ $C_{230}$ Solvable - 2
4902.6 $C_{57}\times D_{43}$ $2 \cdot 3 \cdot 19 \cdot 43$ $2 \cdot 3 \cdot 19 \cdot 43$ $1311$ $C_{57}$ $D_{43}$ $C_{43}$ $C_{114}$ Solvable - 2
4910.4 $C_5\times D_{491}$ $2 \cdot 5 \cdot 491$ $2 \cdot 5 \cdot 491$ $1235$ $C_5$ $D_{491}$ $C_{491}$ $C_{10}$ Solvable - 2
4970.5 $C_{35}\times D_{71}$ $2 \cdot 5 \cdot 7 \cdot 71$ $2 \cdot 5 \cdot 7 \cdot 71$ $1295$ $C_{35}$ $D_{71}$ $C_{71}$ $C_{70}$ Solvable - 2
5253.3 $C_{103}:C_{51}$ $3 \cdot 17 \cdot 103$ $3 \cdot 17 \cdot 103$ $629$ $C_{17}$ $C_{103}:C_3$ $C_{103}$ $C_{51}$ Solvable - 2
5306.4 $C_7\times D_{379}$ $2 \cdot 7 \cdot 379$ $2 \cdot 7 \cdot 379$ $1337$ $C_7$ $D_{379}$ $C_{379}$ $C_{14}$ Solvable - 2
5334.8 $C_{21}\times D_{127}$ $2 \cdot 3 \cdot 7 \cdot 127$ $2 \cdot 3 \cdot 7 \cdot 127$ $1365$ $C_{21}$ $D_{127}$ $C_{127}$ $C_{42}$ Solvable - 2
5370.7 $D_{15}\times C_{179}$ $2 \cdot 3 \cdot 5 \cdot 179$ $2 \cdot 3 \cdot 5 \cdot 179$ $1611$ $C_{179}$ $D_{15}$ $C_{15}$ $C_{358}$ Solvable - 2
5430.5 $C_{15}\times D_{181}$ $2 \cdot 3 \cdot 5 \cdot 181$ $2 \cdot 3 \cdot 5 \cdot 181$ $1380$ $C_{15}$ $D_{181}$ $C_{181}$ $C_{30}$ Solvable - 2
5478.2 $C_{33}\times D_{83}$ $2 \cdot 3 \cdot 11 \cdot 83$ $2 \cdot 3 \cdot 11 \cdot 83$ $1419$ $C_{33}$ $D_{83}$ $C_{83}$ $C_{66}$ Solvable - 2
5894.4 $C_7\times D_{421}$ $2 \cdot 7 \cdot 421$ $2 \cdot 7 \cdot 421$ $1484$ $C_7$ $D_{421}$ $C_{421}$ $C_{14}$ Solvable - 2
6058.1 $D_{13}\times C_{233}$ $2 \cdot 13 \cdot 233$ $2 \cdot 13 \cdot 233$ $1864$ $C_{233}$ $D_{13}$ $C_{13}$ $C_{466}$ Solvable - 2
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