Finite Group Databasebeta

D43×#1747 #25094098

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct productD43×#1747

Splittings

FittingC43×#1747 ⋊ C2
SylowC43 ⋊ C2×#1747

Subgroups

subgroupG/H
centerC8C42×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC43×#1747C2
socleC2×C43C2×#376
prime radicalC23×D43#41
cosocleC22×C4×C43C24
hypercenter#1747D43
hypocenterC43C2×#1747
LCSG ▷ C4×C43 ▷ C43
UCSC1 ◁ C8 ◁ #1747

930 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, 167069);