Finite Group Databasebeta

C22×#14582872 #25960061

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

Aliases

direct productC22×#14582872

Splittings

FittingC22×#117×C43 ⋊ C2
SylowC43 ⋊ C22×#410

Subgroups

subgroupG/H
centerC22×C4(C2×D43)⋊C4
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC22×#117×C43C2
socleC23×C43C2×C22⋊C4
prime radicalC23×#10621898C2
cosocleC23×C43C25
hypercenterC22×#117D43
hypocenterC43C22×#410
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C24×C4 ◁ C22×#117

5278 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033032);