Note: Search results may be incomplete due to uncomputed quantities: Subgroup label (103813812 objects)
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Results (50 matches)
Download displayed columns for results| Label | Subgroup | Ambient | Quotient | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Name | Order | Sylow | norm | char | max | cent | ab | Name | Order | Name | Size | max | ab | |||
| 1092.25.1.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $C_1$ | $1$ | ✓ | ✓ | ||||||
| 2184.b.2.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | ✓ | $\PGL(2,13)$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $C_2$ | $2$ | ✓ | ✓ | |||||
| 2184.o.2.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | ✓ | $C_2\times \PSL(2,13)$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $C_2$ | $2$ | ✓ | ✓ | |||||
| 3276.h.3.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | ✓ | $C_3\times \PSL(2,13)$ | $2^{2} \cdot 3^{2} \cdot 7 \cdot 13$ | $C_3$ | $3$ | ✓ | ✓ | |||||
| 4368.a.4.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $C_2\times \PGL(2,13)$ | $2^{4} \cdot 3 \cdot 7 \cdot 13$ | $C_2^2$ | $2^{2}$ | ✓ | ✓ | ||||||
| 4368.n.4.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $\PSL(2,13):C_4$ | $2^{4} \cdot 3 \cdot 7 \cdot 13$ | $C_4$ | $2^{2}$ | ✓ | ✓ | ||||||
| 6552.a.6.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $C_3\times \PGL(2,13)$ | $2^{3} \cdot 3^{2} \cdot 7 \cdot 13$ | $C_6$ | $2 \cdot 3$ | ✓ | ✓ | ||||||
| 6552.k.6.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $S_3\times \PSL(2,13)$ | $2^{3} \cdot 3^{2} \cdot 7 \cdot 13$ | $S_3$ | $2 \cdot 3$ | ✓ | |||||||
| 6552.l.6.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $C_3:\PGL(2,13)$ | $2^{3} \cdot 3^{2} \cdot 7 \cdot 13$ | $S_3$ | $2 \cdot 3$ | ✓ | |||||||
| 13104.h.12.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $S_3\times \PGL(2,13)$ | $2^{4} \cdot 3^{2} \cdot 7 \cdot 13$ | $D_6$ | $2^{2} \cdot 3$ | ✓ | |||||||
| 26208.b.24.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ✓ | $C_{12}\times \PGL(2,13)$ | $2^{5} \cdot 3^{2} \cdot 7 \cdot 13$ | $C_2\times C_{12}$ | $2^{3} \cdot 3$ | ✓ | ✓ | ||||||
| 1192464.a.1092.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $\PSL(2,13)^2$ | $2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ||||||||
| 1192464.a.1092.c1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $\PSL(2,13)^2$ | $2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $-$ | |||||||||
| 2384928.a.2184._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\OmegaPlus(4,13)$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 2384928.a.2184._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\OmegaPlus(4,13)$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 2384928.b.2184.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $\PSOPlus(4,13)$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $\PGL(2,13)$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ||||||||
| 2384928.b.2184.a1.b1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $\PSOPlus(4,13)$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $\PGL(2,13)$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | ✓ | ||||||||
| 2384928.b.2184.e1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSOPlus(4,13)$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 2384928.b.2184.e1.b1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSOPlus(4,13)$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 2384928.e.2184.b1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(2,13)\wr C_2$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 2384928.e.2184.c1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(2,13)\wr C_2$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 2384928.e.2184.d1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(2,13)\wr C_2$ | $2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{3} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 2388204.a.2187.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $C_3^7.\PSL(2,13)$ | $2^{2} \cdot 3^{8} \cdot 7 \cdot 13$ | $3^{7}$ | $-$ | |||||||||
| 2413320.a.2210._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(2,169)$ | $2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17$ | $2 \cdot 5 \cdot 13 \cdot 17$ | $-$ | ||||||||||
| 2413320.a.2210._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(2,169)$ | $2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17$ | $2 \cdot 5 \cdot 13 \cdot 17$ | $-$ | ||||||||||
| 4769856.c.4368.d1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\POPlus(4,13)$ | $2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{4} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 4769856.c.4368.e1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\POPlus(4,13)$ | $2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{4} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 4769856.c.4368.e1.b1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\POPlus(4,13)$ | $2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{4} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 4769856.e.4368.d1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(2,13)^2.C_4$ | $2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{4} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 4769856.e.4368.e1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(2,13)^2.C_4$ | $2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{4} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 4826640.b.4420._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $C_2\times \PSL(2,169)$ | $2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17$ | $2^{2} \cdot 5 \cdot 13 \cdot 17$ | $-$ | ||||||||||
| 4826640.b.4420._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $C_2\times \PSL(2,169)$ | $2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17$ | $2^{2} \cdot 5 \cdot 13 \cdot 17$ | $-$ | ||||||||||
| 4826640.c.4420.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PGL(2,169)$ | $2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17$ | $2^{2} \cdot 5 \cdot 13 \cdot 17$ | $-$ | ||||||||||
| 9539712.a.8736.L | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PGL(2,13)\wr C_2$ | $2^{7} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{5} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 9539712.a.8736.M | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PGL(2,13)\wr C_2$ | $2^{7} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{5} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 19079424.a.17472._.H | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\GSOPlus(4,13)$ | $2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | $2^{6} \cdot 3 \cdot 7 \cdot 13$ | $-$ | ||||||||||
| 270178272.a.247416._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(3,13)$ | $2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{3} \cdot 61$ | $2^{3} \cdot 3 \cdot 13^{2} \cdot 61$ | $-$ | ||||||||||
| 270178272.a.247416._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(3,13)$ | $2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{3} \cdot 61$ | $2^{3} \cdot 3 \cdot 13^{2} \cdot 61$ | $-$ | ||||||||||
| 270178272.a.247416._.C | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSL(3,13)$ | $2^{5} \cdot 3^{2} \cdot 7 \cdot 13^{3} \cdot 61$ | $2^{3} \cdot 3 \cdot 13^{2} \cdot 61$ | $-$ | ||||||||||
| 810534816.b.742248.a1.a1 | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PGL(3,13)$ | $2^{5} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 61$ | $2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 61$ | $-$ | ||||||||||
| 811273008.a.742924._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\SU(3,13)$ | $2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{3} \cdot 157$ | $2^{2} \cdot 7 \cdot 13^{2} \cdot 157$ | $-$ | ||||||||||
| 1741000716.a.1594323._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $C_3^{13}.\PSL(2,13)$ | $2^{2} \cdot 3^{14} \cdot 7 \cdot 13$ | $3^{13}$ | $-$ | |||||||||
| 1741000716.a.1594323._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $C_3^{13}.\PSL(2,13)$ | $2^{2} \cdot 3^{14} \cdot 7 \cdot 13$ | $3^{13}$ | $-$ | |||||||||
| 1741000716.a.1594323._.C | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $C_3^{13}.\PSL(2,13)$ | $2^{2} \cdot 3^{14} \cdot 7 \cdot 13$ | $3^{13}$ | $-$ | |||||||||
| 4585351680.b.4199040._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $\PSp(6,3)$ | $2^{9} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13$ | $2^{7} \cdot 3^{8} \cdot 5$ | $-$ | |||||||||
| 4585351680.b.4199040._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $\PSp(6,3)$ | $2^{9} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 13$ | $2^{7} \cdot 3^{8} \cdot 5$ | $-$ | |||||||||
| 43589145600.a.39916800._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $A_{14}$ | $2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13$ | $2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 11$ | $-$ | |||||||||
| 68518981440.a.62746320._.A | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSp(4,13)$ | $2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{4} \cdot 17$ | $2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{3} \cdot 17$ | $-$ | ||||||||||
| 68518981440.a.62746320._.B | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | $\PSp(4,13)$ | $2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{4} \cdot 17$ | $2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{3} \cdot 17$ | $-$ | ||||||||||
| 68518981440.a.62746320._.I | $\PSL(2,13)$ | $2^{2} \cdot 3 \cdot 7 \cdot 13$ | ✓ | $\PSp(4,13)$ | $2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{4} \cdot 17$ | $2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{3} \cdot 17$ | $-$ | |||||||||