Finite Group Databasebeta

C3×C2957 #22580002

order8871
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) = C2×C4×C739 (order 5912) · Inn(G) = C1 · Out(G) = C2×C4×C739
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC8871
abelianC3×C2957

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

8871 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD8871, Dic8871, C3⋊#26044791, …
Fitting subgroup ofD3×C2957, C3×D2957, D8871, …
socle ofD3×C2957, C3×D2957, D8871, …
maximal subgroup ofD3×C2957, C3×D2957, D8871, …
maximal normal subgroup ofD3×C2957, C3×D2957, D8871, …
maximal quotient ofC2×C3×C2957, C9×C2957, C32×C2957, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8871, 1);