Finite Group Databasebeta

D43×#2081 #25125530

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2081

Splittings

FittingC43×#2081 ⋊ C2
SylowC43 ⋊ C2×#2081

Subgroups

subgroupG/H
centerC2#397×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2081C2
socleC2×C43C2×#397
prime radicalC22×D4×D43C22
hypercenter#2081D43
hypocenterC43C2×#2081
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C22×C4 ◁ #2081

1006 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 198501);