Finite Group Databasebeta

D43×#2021 #25123825

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

Aliases

direct productD43×#2021

Splittings

FittingC43×#2021 ⋊ C2
SylowC43 ⋊ C2×#2021

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC24×C43C24
FrattiniC24C23×D43
FittingC43×#2021C2
socleC22×C43C2×#120
hypercenter#2021D43
hypocenterC43C2×#2021
LCSG ▷ C24×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C24 ◁ #2021

3986 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 196796);