Finite Group Databasebeta

C4×#14582778 #25017745

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4

Aliases

direct productC4×#14582778

Splittings

FittingC23×C42×C43 ⋊ C2
SylowC43 ⋊ C4×#386

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC23×C42×C43C2
socle, cosocleC24×C43C24
prime radicalC23×C22⋊D43C22
hypercenterC23×C42D43
hypocenterC43C4×#386
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C23×C42

3366 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90716);