Finite Group Databasebeta

D43×#1978 #25100587

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productD43×#1978

Splittings

FittingC43×#1978 ⋊ C2
SylowC43 ⋊ C2×#1978

Subgroups

subgroupG/H
centerC22#121×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1978C2
socleC22×C43C2×#121
prime radicalC22×D8×D43C2
cosocleC22×C4×C43C24
hypercenter#1978D43
hypocenterC43C2×#1978
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1978

1694 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 173558);