Finite Group Databasebeta

D43×#3142 #25965890

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27×C4

Aliases

direct productD43×#3142

Splittings

FittingC43×#3142 ⋊ C2
SylowC43 ⋊ C2×#3142

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3142C2
socleC22×C43C23×D4
prime radical#532×D43C2
hypercenter#3142D43
hypocenterC43C2×#3142
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3142

2182 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1038861);