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C22×C11×C239 #24901935

order10516
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 14280
homologyAbelianization (H1) = G · Schur multiplier (H2) = C2

Aliases

abelianC22×C11×C239
multiplicative(ℤ/11017)ˣ, (ℤ/22034)ˣ

Subgroups

subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G

20 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

10516 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC2×C4×C11×C239, C23×C11×C239
maximal normal subgroup ofC2×C4×C11×C239, C23×C11×C239
maximal quotient ofC2×C4×C11×C239, C23×C11×C239
automorphism group ofC23×C479
outer automorphism group ofC23×C479

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10516, 5);