Finite Group Databasebeta

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C32×C43×C11 #72185498

order6336
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 41287680
homologyAbelianization (H1) = G · Schur multiplier (H2) = C3×C43

Aliases

abelianC32×C43×C11

Subgroups

subgroupG/H
centerGC1
commutatorC1G
Frattini, cosocleC23C23×C32×C11
socle, prime radicalC23×C32×C11C23
LCSG ▷ C1
UCSC1 ◁ G

1548 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

6336 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC32×C42×C8×C11, C2×C32×C43×C11, C33×C43×C11, …
maximal normal subgroup ofC32×C42×C8×C11, C2×C32×C43×C11, C33×C43×C11, …
maximal quotient ofC32×C42×C8×C11, C2×C32×C43×C11, C33×C43×C11, …

GAP

Past the SmallGroups library coverage — no SmallGroups id.