Finite Group Databasebeta

D43×#2309 #25255148

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C42

Aliases

direct productD43×#2309

Splittings

FittingC43×#2309 ⋊ C2
SylowC43 ⋊ C2×#2309

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2309C2
socle, cosocleC23×C43C25
prime radicalC23×D4×D43C2
hypercenter#2309D43
hypocenterC43C2×#2309
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2309

7710 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, 328119);