Finite Group Databasebeta

D43×#2227 #25251222

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productD43×#2227

Splittings

FittingC43×#2227 ⋊ C2
SylowC43 ⋊ C2×#2227

Subgroups

subgroupG/H
centerC22C2×D8×D43
commutator, cosocleC2×C8×C43C24
FrattiniC2×C8C23×D43
FittingC43×#2227C2
socleC22×C43C22×D8
prime radicalC22×D43C2×D8
hypercenter#2227D43
hypocenterC43C2×#2227
LCSG ▷ C2×C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ C4×C8 ◁ #2227

574 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 324193);