Finite Group Databasebeta

C13×C683 #22580069

order8879
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) = C2×C3×C4×C11×C31 (order 8184) · Inn(G) = C1 · Out(G) = C2×C3×C4×C11×C31
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC8879
abelianC13×C683

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

8879 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD8879, Dic8879, C683⋊#261, …
Fitting subgroup ofD13×C683, C13×D683, D8879, …
socle ofD13×C683, C13×D683, D8879, …
maximal subgroup ofD13×C683, C13×D683, D8879, …
maximal normal subgroup ofD13×C683, C13×D683, D8879, …
maximal quotient ofC2×C13×C683, C3×C13×C683

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8879, 1);