Finite Group Databasebeta

← Prev (#25960954) Next (#25960956) →

C22×#14583030 #25960955

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC22×#14583030

Splittings

SylowC43 ⋊ C22×#446

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC22×C4×Q8×C43C2
socle, prime radicalC24×C43C22×C4
cosocleC2×C4×C43C25
hypercenterC22×C4×Q8D43
hypocenterC43C22×#446
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C22×C4×Q8

2222 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033926);