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Results (20 matches)
Download displayed columns for resultsLabel | Subgroup | Ambient | Quotient | |||||||||||||
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Name | Order | Sylow | norm | char | max | cent | ab | Name | Order | Name | Size | max | ab | |||
132.8.1.a1.a1 | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_1$ | $1$ | ✓ | |||||||
132.8.2.a1.a1 | $C_{66}$ | $2 \cdot 3 \cdot 11$ | ✓ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||
132.8.2.b1.a1 | $S_3\times C_{11}$ | $2 \cdot 3 \cdot 11$ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
132.8.2.b1.b1 | $S_3\times C_{11}$ | $2 \cdot 3 \cdot 11$ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_2$ | $2$ | ✓ | |||||||
132.8.3.a1.a1 | $C_2\times C_{22}$ | $2^{2} \cdot 11$ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $3$ | $-$ | ||||||||
132.8.4.a1.a1 | $C_{33}$ | $3 \cdot 11$ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_2^2$ | $2^{2}$ | ✓ | ||||||
132.8.6.a1.a1 | $C_{22}$ | $2 \cdot 11$ | ✓ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $S_3$ | $2 \cdot 3$ | ||||||
132.8.6.b1.a1 | $C_{22}$ | $2 \cdot 11$ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3$ | $-$ | |||||||||
132.8.6.b1.b1 | $C_{22}$ | $2 \cdot 11$ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3$ | $-$ | |||||||||
132.8.11.a1.a1 | $D_6$ | $2^{2} \cdot 3$ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_{11}$ | $11$ | ✓ | ||||||
132.8.12.a1.a1 | $C_{11}$ | $11$ | $11$ | ✓ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $D_6$ | $2^{2} \cdot 3$ | ✓ | ||||
132.8.22.a1.a1 | $C_6$ | $2 \cdot 3$ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_{22}$ | $2 \cdot 11$ | ✓ | ||||||
132.8.22.b1.a1 | $S_3$ | $2 \cdot 3$ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_{22}$ | $2 \cdot 11$ | ✓ | ||||||||
132.8.22.b1.b1 | $S_3$ | $2 \cdot 3$ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_{22}$ | $2 \cdot 11$ | ✓ | ||||||||
132.8.33.a1.a1 | $C_2^2$ | $2^{2}$ | $2$ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $3 \cdot 11$ | $-$ | ||||||||
132.8.44.a1.a1 | $C_3$ | $3$ | $3$ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $C_2\times C_{22}$ | $2^{2} \cdot 11$ | ✓ | ✓ | ||||
132.8.66.a1.a1 | $C_2$ | $2$ | ✓ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $S_3\times C_{11}$ | $2 \cdot 3 \cdot 11$ | ✓ | |||||
132.8.66.b1.a1 | $C_2$ | $2$ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $-$ | |||||||||
132.8.66.b1.b1 | $C_2$ | $2$ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $2 \cdot 3 \cdot 11$ | $-$ | |||||||||
132.8.132.a1.a1 | $C_1$ | $1$ | ✓ | ✓ | ✓ | ✓ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ | $S_3\times C_{22}$ | $2^{2} \cdot 3 \cdot 11$ |