Finite Group Databasebeta

C4×#14583538 #25256395

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC4×#14583538

Splittings

FittingC4×#121×C43 ⋊ C2
SylowC43 ⋊ C4×#546

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC4×#121×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583538C2
hypercenterC4×#121D43
hypocenterC43C4×#546
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C4×#121

3720 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1276 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 329366);