Finite Group Databasebeta

D43×#2955 #25960896

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD43×#2955

Splittings

FittingC43×#2955 ⋊ C2
SylowC43 ⋊ C2×#2955

Subgroups

subgroupG/H
centerC8C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2955C2
socleC2×C43C22×C4×D4
prime radical#575×D43C2
cosocleC2×C4×C43C25
hypercenter#2955D43
hypocenterC43C2×#2955
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C8 ◁ C22×C8 ◁ #2955

2666 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033867);