Finite Group Databasebeta

D43×#2273 #25254800

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

Aliases

direct productD43×#2273

Splittings

FittingC43×#2273 ⋊ C2
SylowC43 ⋊ C2×#2273

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC2×C43C23×C42
FittingC43×#2273C2
socle, cosocleC23×C43C25
prime radicalC25×D43C22
hypercenter#2273D43
hypocenterC43C2×#2273
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2273

5790 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, 327771);