Note: Search results may be incomplete due to uncomputed quantities: Subgroup label (103813812 objects)
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Results (40 matches)
Download displayed columns for results| Label | Subgroup | Ambient | Quotient | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Name | Order | Sylow | norm | char | max | cent | ab | Name | Order | Name | Size | max | ab | |||
| 216.36.2.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_6.S_3^2$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | ||||||
| 216.37.2.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^2:D_{12}$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | ||||||
| 216.67.2.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_4\times C_3^2:S_3$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | ||||||
| 216.68.2.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | $C_3^2:D_{12}$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | |||||||
| 216.68.2.a1.b1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | $C_3^2:D_{12}$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | |||||||
| 216.72.2.b1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_6^2:S_3$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | ||||||
| 216.100.2.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_2\times \He_3:C_4$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | ||||||
| 216.102.2.b1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_6.S_3^2$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | ||||||
| 216.113.2.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | $C_6^2:S_3$ | $2^{3} \cdot 3^{3}$ | $C_2$ | $2$ | ✓ | |||||||
| 324.68.3.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^3:D_6$ | $2^{2} \cdot 3^{4}$ | $C_3$ | $3$ | ✓ | ||||||
| 324.70.3.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $(C_3\times C_{18}):S_3$ | $2^{2} \cdot 3^{4}$ | $C_3$ | $3$ | ✓ | ||||||
| 324.72.3.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $(C_3\times C_{18}):S_3$ | $2^{2} \cdot 3^{4}$ | $C_3$ | $3$ | ✓ | ||||||
| 324.122.3.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^2:S_3^2$ | $2^{2} \cdot 3^{4}$ | $3$ | $-$ | |||||||||
| 324.145.3.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^3:D_6$ | $2^{2} \cdot 3^{4}$ | $C_3$ | $3$ | ✓ | ||||||
| 324.148.3.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $(C_3\times C_{18}):S_3$ | $2^{2} \cdot 3^{4}$ | $C_3$ | $3$ | ✓ | ||||||
| 324.150.3.b1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^3:D_6$ | $2^{2} \cdot 3^{4}$ | $3$ | $-$ | |||||||||
| 432.258.4.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^2:\GL(2,3)$ | $2^{4} \cdot 3^{3}$ | $2^{2}$ | $-$ | |||||||||
| 432.538.4.b1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_6^2:D_6$ | $2^{4} \cdot 3^{3}$ | $2^{2}$ | $-$ | |||||||||
| 540.49.5.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $\He_3:D_{10}$ | $2^{2} \cdot 3^{3} \cdot 5$ | $5$ | $-$ | |||||||||
| 540.74.5.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^2:S_3\times C_{10}$ | $2^{2} \cdot 3^{3} \cdot 5$ | $C_5$ | $5$ | ✓ | ||||||
| 540.76.5.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^2:D_{30}$ | $2^{2} \cdot 3^{3} \cdot 5$ | $5$ | $-$ | |||||||||
| 756.93.7.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $\He_3:D_{14}$ | $2^{2} \cdot 3^{3} \cdot 7$ | $7$ | $-$ | |||||||||
| 756.130.7.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^2:S_3\times C_{14}$ | $2^{2} \cdot 3^{3} \cdot 7$ | $C_7$ | $7$ | ✓ | ||||||
| 756.132.7.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^2:D_{42}$ | $2^{2} \cdot 3^{3} \cdot 7$ | $7$ | $-$ | |||||||||
| 1188.36.11.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $\He_3:D_{22}$ | $2^{2} \cdot 3^{3} \cdot 11$ | $11$ | $-$ | |||||||||
| 1188.61.11.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^2:S_3\times C_{22}$ | $2^{2} \cdot 3^{3} \cdot 11$ | $C_{11}$ | $11$ | ✓ | ||||||
| 1188.63.11.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^2:D_{66}$ | $2^{2} \cdot 3^{3} \cdot 11$ | $11$ | $-$ | |||||||||
| 1404.117.13.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $\He_3:D_{26}$ | $2^{2} \cdot 3^{3} \cdot 13$ | $13$ | $-$ | |||||||||
| 1404.154.13.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^2:D_6\times C_{13}$ | $2^{2} \cdot 3^{3} \cdot 13$ | $C_{13}$ | $13$ | ✓ | ||||||
| 1404.156.13.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^2:D_{78}$ | $2^{2} \cdot 3^{3} \cdot 13$ | $13$ | $-$ | |||||||||
| 1836.48.17.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $\He_3:D_{34}$ | $2^{2} \cdot 3^{3} \cdot 17$ | $17$ | $-$ | |||||||||
| 1836.73.17.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | ✓ | ✓ | $C_3^2:D_6\times C_{17}$ | $2^{2} \cdot 3^{3} \cdot 17$ | $C_{17}$ | $17$ | ✓ | ||||||
| 1836.75.17.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_3^2:D_{102}$ | $2^{2} \cdot 3^{3} \cdot 17$ | $17$ | $-$ | |||||||||
| 2700.q.25.a1.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_{15}^2:D_6$ | $2^{2} \cdot 3^{3} \cdot 5^{2}$ | $5^{2}$ | $-$ | |||||||||
| 6912.bn.64.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_2^2:A_4^2:D_6$ | $2^{8} \cdot 3^{3}$ | $2^{6}$ | $-$ | |||||||||
| 37044.r.343.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_7^3:C_3^2:D_6$ | $2^{2} \cdot 3^{3} \cdot 7^{3}$ | $7^{3}$ | $-$ | |||||||||
| 37044.x.343.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_7^3:C_3^2:D_6$ | $2^{2} \cdot 3^{3} \cdot 7^{3}$ | $7^{3}$ | $-$ | |||||||||
| 37044.y.343.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_7^3:C_3^2:D_6$ | $2^{2} \cdot 3^{3} \cdot 7^{3}$ | $7^{3}$ | $-$ | |||||||||
| 237276.f.2197.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_{13}^3:C_3^2:D_6$ | $2^{2} \cdot 3^{3} \cdot 13^{3}$ | $13^{3}$ | $-$ | |||||||||
| 1687500.i.15625.a1 | $C_3^2:D_6$ | $2^{2} \cdot 3^{3}$ | ✓ | $C_5^6:\He_3:C_2^2$ | $2^{2} \cdot 3^{3} \cdot 5^{6}$ | $5^{6}$ | $-$ | |||||||||