Finite Group Databasebeta

D43×#1742 #25094040

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27

Aliases

direct productD43×#1742

Splittings

FittingC43×#1742 ⋊ C2
SylowC43 ⋊ C2×#1742

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C22×C42
FrattiniC22×C4C23×D43
FittingC43×#1742C2
socleC22×C43C22×C22⋊C4
prime radicalC24×D43C2×C4
cosocleC22×C4×C43C24
hypercenter#1742D43
hypocenterC43C2×#1742
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1742

2190 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, 167011);