Finite Group Databasebeta

D43×#2985 #25961548

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD43×#2985

Splittings

FittingC43×#2985 ⋊ C2
SylowC43 ⋊ C2×#2985

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2985C2
prime radicalC23×D43C22×C4
cosocleC2×C4×C43C25
hypercenter#2985D43
hypocenterC43C2×#2985
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2985

1750 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, 1034519);