Finite Group Databasebeta

C22×#14583277 #25966002

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28×C4

Aliases

direct productC22×#14583277

Splittings

SylowC43 ⋊ C22×#494

Subgroups

subgroupG/H
centerC24D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC23×Q16×C43C2
socle, prime radicalC24×C43C2×D4
hypercenterC23×Q16D43
hypocenterC43C22×#494
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×Q16

3262 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1264 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1038973);