Finite Group Databasebeta

C22×#14582837 #25262830

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC22×#14582837

Splittings

SylowC43 ⋊ C22×#400

Subgroups

subgroupG/H
centerC25C22×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC23×C4⋊C4×C43C2
socle, prime radicalC25×C43C23
hypercenterC23×C4⋊C4D43
hypocenterC43C22×#400
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C25 ◁ C23×C4⋊C4

3550 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 335801);