Finite Group Databasebeta

D43×#1680 #25078977

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

Aliases

direct productD43×#1680

Splittings

FittingC43×#1680 ⋊ C2
SylowC43 ⋊ C2×#1680

Subgroups

subgroupG/H
centerC22#121×D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#1680C2
socleC22×C43C2×#121
prime radicalC22×D43#121
hypercenter#1680D43
hypocenterC43C2×#1680
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ #1680

670 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 151948);