Finite Group Databasebeta

C11×C863 #23748811

order9493
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) = C22×C5×C431 (order 8620) · Inn(G) = C1 · Out(G) = C22×C5×C431
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC9493
abelianC11×C863

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

9493 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD9493, Dic9493, D11×D863, …
Fitting subgroup ofD11×C863, C11×D863, D9493, …
socle ofD11×C863, C11×D863, D9493, …
maximal subgroup ofD11×C863, C11×D863, D9493, …
maximal normal subgroup ofD11×C863, C11×D863, D9493, …
maximal quotient ofC2×C11×C863, C3×C11×C863

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9493, 1);