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Results (46 matches)
Download displayed columns for results| Label | Subgroup | Ambient | Quotient | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Name | Order | Sylow | norm | char | max | cent | ab | Name | Order | Name | Size | max | ab | |||
| 480.967.2.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $\SL(2,3).D_{10}$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
| 480.969.2.c1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $\SL(2,3).D_{10}$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
| 480.971.2.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $D_{10}.S_4$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
| 480.973.2.c1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $D_{10}.S_4$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
| 480.1016.2.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_2\times C_{10}.S_4$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | |||||||
| 480.1016.2.b1.b1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_2\times C_{10}.S_4$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | |||||||
| 480.1018.2.c1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $\GL(2,3):C_{10}$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
| 480.1019.2.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_{20}.S_4$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | |||||||
| 480.1019.2.b1.b1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_{20}.S_4$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | |||||||
| 480.1020.2.c1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $\GL(2,3):C_{10}$ | $2^{5} \cdot 3 \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
| 720.526.3.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $C_{30}.S_4$ | $2^{4} \cdot 3^{2} \cdot 5$ | $C_3$ | $3$ | ✓ | ||||||
| 720.532.3.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{30}.S_4$ | $2^{4} \cdot 3^{2} \cdot 5$ | $3$ | $-$ | |||||||||
| 720.532.3.b1.b1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{30}.S_4$ | $2^{4} \cdot 3^{2} \cdot 5$ | $3$ | $-$ | |||||||||
| 720.532.3.b1.c1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{30}.S_4$ | $2^{4} \cdot 3^{2} \cdot 5$ | $3$ | $-$ | |||||||||
| 960.11109.4.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times Q_8.S_4$ | $2^{6} \cdot 3 \cdot 5$ | $2^{2}$ | $-$ | |||||||||
| 960.11109.4.b1.b1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times Q_8.S_4$ | $2^{6} \cdot 3 \cdot 5$ | $2^{2}$ | $-$ | |||||||||
| 960.11112.4.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times Q_8.S_4$ | $2^{6} \cdot 3 \cdot 5$ | $2^{2}$ | $-$ | |||||||||
| 960.11112.4.b1.b1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times Q_8.S_4$ | $2^{6} \cdot 3 \cdot 5$ | $2^{2}$ | $-$ | |||||||||
| 1200.96.5.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $C_{50}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $C_5$ | $5$ | ✓ | ||||||
| 1200.474.5.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{10}.S_5$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $5$ | $-$ | |||||||||
| 1200.671.5.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_5\times C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $C_5$ | $5$ | ✓ | |||||||
| 1200.671.5.a1.b1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_5\times C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $C_5$ | $5$ | ✓ | |||||||
| 1200.671.5.a1.c1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_5\times C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $C_5$ | $5$ | ✓ | |||||||
| 1200.671.5.a1.d1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_5\times C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $C_5$ | $5$ | ✓ | |||||||
| 1200.671.5.a1.e1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_5\times C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $C_5$ | $5$ | ✓ | |||||||
| 1200.671.5.a1.f1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | $C_5\times C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $C_5$ | $5$ | ✓ | |||||||
| 1200.674.5.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5^{2}$ | $5$ | $-$ | |||||||||
| 1680.397.7.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,7)$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | $7$ | $-$ | |||||||||
| 1680.397.7.a1.a2 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,7)$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | $7$ | $-$ | |||||||||
| 1680.563.7.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $C_{70}.S_4$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | $C_7$ | $7$ | ✓ | ||||||
| 1680.566.7.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{70}.S_4$ | $2^{4} \cdot 3 \cdot 5 \cdot 7$ | $7$ | $-$ | |||||||||
| 3600.l.15.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,9)$ | $2^{4} \cdot 3^{2} \cdot 5^{2}$ | $3 \cdot 5$ | $-$ | |||||||||
| 3600.l.15.a1.b1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,9)$ | $2^{4} \cdot 3^{2} \cdot 5^{2}$ | $3 \cdot 5$ | $-$ | |||||||||
| 4560.d.19.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $C_{190}.S_4$ | $2^{4} \cdot 3 \cdot 5 \cdot 19$ | $C_{19}$ | $19$ | ✓ | ||||||
| 7440.d.31.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $C_{310}.S_4$ | $2^{4} \cdot 3 \cdot 5 \cdot 31$ | $C_{31}$ | $31$ | ✓ | ||||||
| 10320.a.43.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | ✓ | ✓ | $C_{430}.S_4$ | $2^{4} \cdot 3 \cdot 5 \cdot 43$ | $C_{43}$ | $43$ | ✓ | ||||||
| 13200.d.55.b1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{10}.\PGL(2,11)$ | $2^{4} \cdot 3 \cdot 5^{2} \cdot 11$ | $5 \cdot 11$ | $-$ | |||||||||
| 68400.c.285.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{10}.\PGL(2,19)$ | $2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19$ | $3 \cdot 5 \cdot 19$ | $-$ | |||||||||
| 148800.a.620.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,31)$ | $2^{6} \cdot 3 \cdot 5^{2} \cdot 31$ | $2^{2} \cdot 5 \cdot 31$ | $-$ | |||||||||
| 148800.a.620.a1.a2 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,31)$ | $2^{6} \cdot 3 \cdot 5^{2} \cdot 31$ | $2^{2} \cdot 5 \cdot 31$ | $-$ | |||||||||
| 344400.a.1435.a1.a1 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,41)$ | $2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 41$ | $5 \cdot 7 \cdot 41$ | $-$ | |||||||||
| 344400.a.1435.a1.a2 | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,41)$ | $2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 41$ | $5 \cdot 7 \cdot 41$ | $-$ | |||||||||
| 1789200.a.7455._.B | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,71)$ | $2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 71$ | $3 \cdot 5 \cdot 7 \cdot 71$ | $-$ | |||||||||
| 1789200.a.7455._.C | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_5\times \SL(2,71)$ | $2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 71$ | $3 \cdot 5 \cdot 7 \cdot 71$ | $-$ | |||||||||
| 17214000.a.71725._.A | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{10}.\PSL(2,151)$ | $2^{4} \cdot 3 \cdot 5^{3} \cdot 19 \cdot 151$ | $5^{2} \cdot 19 \cdot 151$ | $-$ | |||||||||
| 17214000.a.71725._.B | $C_{10}.S_4$ | $2^{4} \cdot 3 \cdot 5$ | ✓ | $C_{10}.\PSL(2,151)$ | $2^{4} \cdot 3 \cdot 5^{3} \cdot 19 \cdot 151$ | $5^{2} \cdot 19 \cdot 151$ | $-$ | |||||||||