Finite Group Databasebeta

D43×Q128 #25017645

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

Aliases

direct productD43×Q128

Splittings

FittingC43×Q128 ⋊ C2
SylowC43 ⋊ C2×Q128

Subgroups

subgroupG/H
centerC2D32×D43
commutator, cosocleC32×C43C23
FrattiniC32C22×D43
FittingC43×Q128C2
socleC2×C43C2×D32
prime radicalC2×D43D32
hypercenterQ128D43
hypocenterC43C2×Q128
LCSG ▷ C32×C43 ▷ C16×C43 ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ C16 ◁ C32 ◁ Q128

126 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90616);