Finite Group Databasebeta

C11×C2269 #38735670

order24959
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 22680
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC24959
abelianC11×C2269

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

24959 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24959, 1);