Finite Group Databasebeta

D43×#1332 #25006330

order11008
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C23

Aliases

direct productD43×#1332

Splittings

FittingC43×#1332 ⋊ C2
SylowC43 ⋊ C2×#1332

Subgroups

subgroupG/H
centerC2×C4D8×D43
commutatorC8×C43C22×C8
FrattiniC4×C8C22×D43
FittingC43×#1332C2
socleC22×C43C2×#102
prime radicalC22×D43#102
cosocleC4×C8×C43C23
hypercenter#1332D43
hypocenterC43C2×#1332
LCSG ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×C8 ◁ #1332

406 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, 79301);