Finite Group Databasebeta

D43×#2873 #25959992

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD43×#2873

Splittings

FittingC43×#2873 ⋊ C2
SylowC43 ⋊ C2×#2873

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutatorC2×C43C23×C42
FittingC43×#2873C2
socleC22×C43C24×C4
prime radicalC24×D43C2×C4
cosocleC2×C4×C43C25
hypercenter#2873D43
hypocenterC43C2×#2873
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2873

3342 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1564 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1032963);