Finite Group Databasebeta

C13×C719 #22627192

order9347
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) = C2×C3×C4×C359 (order 8616) · Inn(G) = C1 · Out(G) = C2×C3×C4×C359
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC9347
abelianC13×C719

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

9347 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD9347, Dic9347, C719⋊#261, …
Fitting subgroup ofD13×C719, C13×D719, D9347, …
socle ofD13×C719, C13×D719, D9347, …
maximal subgroup ofD13×C719, C13×D719, D9347, …
maximal normal subgroup ofD13×C719, C13×D719, D9347, …
maximal quotient ofC2×C13×C719, C3×C13×C719

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9347, 1);