Finite Group Databasebeta

C4×#14582784 #25017776

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×#14582784

Splittings

SylowC43 ⋊ C4×#387

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC4×#95×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC4×#95D43
hypocenterC43C4×#387
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C4×#95

1742 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, 90747);