Finite Group Databasebeta

D43×#2392 #25262813

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD43×#2392

Splittings

FittingC43×#2392 ⋊ C2
SylowC43 ⋊ C2×#2392

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#2392C2
prime radical#392×D43C2
hypercenter#2392D43
hypocenterC43C2×#2392
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2392

4134 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, 335784);