Finite Group Databasebeta

C13×C292 #24926442

order10933
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 8184960
homologyAbelianization (H1) = G · Schur multiplier (H2) = C29

Aliases

abelianC13×C292

Subgroups

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

64 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

10933 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofC13⋊(C29⋊D29), C13⋊(C292⋊C3)
Fitting subgroup ofC13×C29×D29, C13×C29⋊D29, D13×C292, …
socle ofC13×C29×D29, C13×C29⋊D29, D13×C292, …
maximal subgroup ofC2×C13×C292, C13×C29×D29, C13×C29⋊D29, …
maximal normal subgroup ofC2×C13×C292, C13×C29×D29, C13×C29⋊D29, …
maximal quotient ofC2×C13×C292, C3×C13×C292

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10933, 2);