Finite Group Databasebeta

C2×#442×D43 #25960638

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#442×D43

Splittings

FittingC2×C43×#442 ⋊ C2
SylowC43 ⋊ C22×#442

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#442C2
socleC23×C43C22×D4
prime radicalC22×D8×D43C2
cosocleC2×C4×C43C25
hypercenterC2×#442D43
hypocenterC43C22×#442
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

3654 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033609);