Note: Search results may be incomplete due to uncomputed quantities: Subgroup label (103813812 objects)
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Results (21 matches)
Download displayed columns for resultsLabel | Subgroup | Ambient | Quotient | |||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Name | Order | Sylow | norm | char | max | cent | ab | Name | Order | Name | Size | max | ab | |||
116640.x.1.a1.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | $C_1$ | $1$ | ✓ | |||||||
233280.o.2.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | ✓ | $(C_3^3\times A_6):S_4$ | $2^{6} \cdot 3^{6} \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
233280.p.2.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | ✓ | $C_3^3:A_4\times S_6$ | $2^{6} \cdot 3^{6} \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
233280.r.2.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | ✓ | $A_6\times C_3^3:S_4$ | $2^{6} \cdot 3^{6} \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
233280.s.2.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | ✓ | $A_6\times S_3\wr C_3$ | $2^{6} \cdot 3^{6} \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
233280.t.2.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | ✓ | $(C_3^3\times A_6):S_4$ | $2^{6} \cdot 3^{6} \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
233280.u.2.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | ✓ | $C_3^3:(A_4\times S_6)$ | $2^{6} \cdot 3^{6} \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
233280.v.2.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | ✓ | $A_6\times C_3^3:S_4$ | $2^{6} \cdot 3^{6} \cdot 5$ | $C_2$ | $2$ | ✓ | ||||||
466560.r.4._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $S_3^3.(C_3\times S_6)$ | $2^{7} \cdot 3^{6} \cdot 5$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
466560.s.4.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $C_3^3:S_4\times S_6$ | $2^{7} \cdot 3^{6} \cdot 5$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
466560.t.4.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $C_3^3:(S_4\times S_6)$ | $2^{7} \cdot 3^{6} \cdot 5$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
466560.v.4._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $S_3^3.(S_3\times A_6)$ | $2^{7} \cdot 3^{6} \cdot 5$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
466560.w.4.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $(S_3^3\times A_6):S_3$ | $2^{7} \cdot 3^{6} \cdot 5$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
466560.x.4._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $S_6\times C_3^3:S_4$ | $2^{7} \cdot 3^{6} \cdot 5$ | $C_2^2$ | $2^{2}$ | ✓ | |||||||
933120.r.8.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | ✓ | ✓ | $S_6\times S_3\wr S_3$ | $2^{8} \cdot 3^{6} \cdot 5$ | $C_2^3$ | $2^{3}$ | ✓ | |||||||
65318400.a.560.a1.a1 | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | $A_6\times A_9$ | $2^{9} \cdot 3^{6} \cdot 5^{2} \cdot 7$ | $2^{4} \cdot 5 \cdot 7$ | $-$ | ||||||||||
130636800.a.1120._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | $A_6\times S_9$ | $2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7$ | $2^{5} \cdot 5 \cdot 7$ | $-$ | ||||||||||
130636800.b.1120._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | $S_6\times A_9$ | $2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7$ | $2^{5} \cdot 5 \cdot 7$ | $-$ | ||||||||||
130636800.c.1120._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | $A_6.S_9$ | $2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7$ | $2^{5} \cdot 5 \cdot 7$ | $-$ | ||||||||||
261273600.a.2240._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | $S_6\times S_9$ | $2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 7$ | $2^{6} \cdot 5 \cdot 7$ | $-$ | ||||||||||
653837184000.a.5605600._.A | $C_3^3:A_4\times A_6$ | $2^{5} \cdot 3^{6} \cdot 5$ | $A_{15}$ | $2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 11 \cdot 13$ | $2^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13$ | $-$ |