Finite Group Databasebeta

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C22×C33×C8×C11 #72188246

order9504
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 43130880
homologyAbelianization (H1) = G · Schur multiplier (H2) = C23×C33

Aliases

abelianC22×C33×C8×C11

Subgroups

subgroupG/H
centerGC1
commutatorC1G
Frattini, cosocleC4C23×C33×C11
socle, prime radicalC23×C33×C11C4
LCSG ▷ C1
UCSC1 ◁ G

2128 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

9504 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC22×C33×C11×C16, C2×C33×C4×C8×C11, C23×C33×C8×C11, …
maximal normal subgroup ofC22×C33×C11×C16, C2×C33×C4×C8×C11, C23×C33×C8×C11, …
maximal quotient ofC22×C33×C11×C16, C2×C33×C4×C8×C11, C23×C33×C8×C11, …

GAP

Past the SmallGroups library coverage — no SmallGroups id.