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Results (39 matches)
Download displayed columns for results| Label | Subgroup | Ambient | Quotient | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Name | Order | Sylow | norm | char | max | cent | ab | Name | Order | Name | Size | max | ab | |||
| 576.5234.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5244.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5249.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5251.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5260.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5264.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5265.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5267.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5314.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5320.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5325.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5330.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $(C_6\times C_{12}).D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5374.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_6^2.D_8$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5377.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5378.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5381.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_6^2:Q_{16}$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5383.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5385.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 576.5385.288.b1.b1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 576.5386.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_6^2.\SD_{16}$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5389.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5390.288.b1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 576.5390.288.b1.b1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 576.5406.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_2^3.\SOPlus(4,2)$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.5407.288.c1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $C_6^2:\SD_{16}$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 576.8416.288.b1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | $C_2\times C_6^2.D_4$ | $2^{6} \cdot 3^{2}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 864.2274.288.a1.a1 | $C_3$ | $3$ | ✓ | ✓ | ✓ | $(C_2^2\times \He_3).D_4$ | $2^{5} \cdot 3^{3}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 864.4109.288.a1.a1 | $C_3$ | $3$ | ✓ | ✓ | ✓ | $D_6.\SOPlus(4,2)$ | $2^{5} \cdot 3^{3}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 864.4110.288.a1.a1 | $C_3$ | $3$ | ✓ | ✓ | ✓ | $D_6.\SOPlus(4,2)$ | $2^{5} \cdot 3^{3}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 864.4261.288.a1.a1 | $C_3$ | $3$ | ✓ | ✓ | ✓ | ✓ | $C_3\times C_6^2.D_4$ | $2^{5} \cdot 3^{3}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 864.4293.288.a1.a1 | $C_3$ | $3$ | ✓ | ✓ | ✓ | $(C_3\times C_6^2).D_4$ | $2^{5} \cdot 3^{3}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 864.4295.288.a1.a1 | $C_3$ | $3$ | ✓ | ✓ | ✓ | $(C_3\times C_6^2).D_4$ | $2^{5} \cdot 3^{3}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 864.4319.288.a1.a1 | $C_3$ | $3$ | ✓ | ✓ | ✓ | $C_6^2.D_{12}$ | $2^{5} \cdot 3^{3}$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||||
| 1440.4793.288.a1.a1 | $C_5$ | $5$ | $5$ | ✓ | ✓ | ✓ | $D_{10}.\SOPlus(4,2)$ | $2^{5} \cdot 3^{2} \cdot 5$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 1440.4794.288.a1.a1 | $C_5$ | $5$ | $5$ | ✓ | ✓ | ✓ | $D_{10}.\SOPlus(4,2)$ | $2^{5} \cdot 3^{2} \cdot 5$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 1440.5139.288.a1.a1 | $C_5$ | $5$ | $5$ | ✓ | ✓ | ✓ | ✓ | $C_5\times C_6^2.D_4$ | $2^{5} \cdot 3^{2} \cdot 5$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | ||||
| 1440.5171.288.a1.a1 | $C_5$ | $5$ | $5$ | ✓ | ✓ | ✓ | $(C_6\times C_{30}).D_4$ | $2^{5} \cdot 3^{2} \cdot 5$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 1440.5173.288.a1.a1 | $C_5$ | $5$ | $5$ | ✓ | ✓ | ✓ | $(C_6\times C_{30}).D_4$ | $2^{5} \cdot 3^{2} \cdot 5$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||
| 1440.5197.288.a1.a1 | $C_5$ | $5$ | $5$ | ✓ | ✓ | ✓ | $C_6^2.D_{20}$ | $2^{5} \cdot 3^{2} \cdot 5$ | $C_6^2.D_4$ | $2^{5} \cdot 3^{2}$ | ✓ | |||||