Finite Group Databasebeta

D43×#2883 #25960063

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD43×#2883

Splittings

FittingC43×#2883 ⋊ C2
SylowC43 ⋊ C2×#2883

Subgroups

subgroupG/H
centerC2C22×C22⋊C4×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC43×#2883C2
socleC2×C43C23×C22⋊C4
prime radicalC2×H(5,𝔽2)×D43C2
cosocleC23×C43C25
hypercenter#2883D43
hypocenterC43C2×#2883
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C22×D4 ◁ #2883

5338 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

943 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033034);