Note: Search results may be incomplete due to uncomputed quantities: Subgroup label (103813812 objects)
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| Label | Subgroup | Ambient | Quotient | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Name | Order | Sylow | norm | char | max | cent | ab | Name | Order | Name | Size | max | ab | |||
| 440.14.1.a1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $C_1$ | $1$ | ✓ | |||||||
| 880.20.2.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $Q_8:F_{11}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | ||||||
| 880.21.2.a1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $Q_8.F_{11}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | ||||||
| 880.29.2.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $C_{88}:C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | ||||||
| 880.30.2.a1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $C_{88}.C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
| 880.30.2.a1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $C_{88}.C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
| 880.120.2.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $Q_8\times F_{11}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | ||||||
| 880.121.2.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $D_{44}:C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | ||||||
| 880.133.2.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $Q_8\times C_{11}:C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
| 880.133.2.b1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $Q_8\times C_{11}:C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
| 880.133.2.b1.c1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $Q_8\times C_{11}:C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
| 880.133.2.b1.d1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $Q_8\times C_{11}:C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
| 880.134.2.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $(C_2\times C_{44}):C_{10}$ | $2^{4} \cdot 5 \cdot 11$ | $C_2$ | $2$ | ✓ | ||||||
| 1320.22.3.a1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $C_{11}:C_5\times \SL(2,3)$ | $2^{3} \cdot 3 \cdot 5 \cdot 11$ | $C_3$ | $3$ | ✓ | ||||||
| 1320.28.3.a1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $C_{132}.C_{10}$ | $2^{3} \cdot 3 \cdot 5 \cdot 11$ | $3$ | $-$ | |||||||||
| 1320.40.3.a1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | ✓ | $C_{132}.C_{10}$ | $2^{3} \cdot 3 \cdot 5 \cdot 11$ | $C_3$ | $3$ | ✓ | ||||||
| 1760.38.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $Q_{16}:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.39.4.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $Q_{16}.F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.45.4.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $(Q_8\times C_{11}):C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $C_4$ | $2^{2}$ | ✓ | ||||||||
| 1760.45.4.b1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $(Q_8\times C_{11}):C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $C_4$ | $2^{2}$ | ✓ | ||||||||
| 1760.45.4.e1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $(Q_8\times C_{11}):C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.46.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $(C_2\times C_{44}).C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.46.4.c1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $(C_2\times C_{44}).C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.47.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $(D_4\times C_{11}):C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $C_4$ | $2^{2}$ | ✓ | |||||||
| 1760.54.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $(C_2\times C_{44}).C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.54.4.c1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $(C_2\times C_{44}).C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.56.4.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $(Q_8\times C_{11}):C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $C_4$ | $2^{2}$ | ✓ | ||||||||
| 1760.56.4.b1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $(Q_8\times C_{11}):C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $C_4$ | $2^{2}$ | ✓ | ||||||||
| 1760.56.4.e1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $(Q_8\times C_{11}):C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.57.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $(C_4\times C_{44}):C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $C_4$ | $2^{2}$ | ✓ | |||||||
| 1760.65.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $C_{176}:C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.66.4.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $C_{176}.C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.66.4.b1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $C_{176}.C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.323.4.d1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $\SD_{16}\times F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
| 1760.324.4.e1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $D_{88}:C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
| 1760.325.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $\SD_{16}:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
| 1760.326.4.d1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $\SD_{16}:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
| 1760.327.4.b1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $Q_{16}\times F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||||
| 1760.327.4.b1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $Q_{16}\times F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||||
| 1760.328.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $Q_{16}:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
| 1760.328.4.d1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | ✓ | $Q_{16}:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
| 1760.329.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $D_{88}:C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||||
| 1760.329.4.c1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $D_{88}:C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||||
| 1760.351.4.e1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $C_{22}.(D_4\times C_{10})$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.351.4.e1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $C_{22}.(D_4\times C_{10})$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.352.4.d1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $Q_8\times C_{11}:C_{20}$ | $2^{5} \cdot 5 \cdot 11$ | $C_4$ | $2^{2}$ | ✓ | ||||||||
| 1760.353.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $C_2\times Q_8:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||||
| 1760.353.4.c1.b1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $C_2\times Q_8:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||||
| 1760.353.4.h1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | $C_2\times Q_8:F_{11}$ | $2^{5} \cdot 5 \cdot 11$ | $2^{2}$ | $-$ | ||||||||||
| 1760.354.4.c1.a1 | $C_{44}.C_{10}$ | $2^{3} \cdot 5 \cdot 11$ | ✓ | $(Q_8\times C_{22}):C_{10}$ | $2^{5} \cdot 5 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||||