Finite Group Databasebeta

D43×#2239 #25251484

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

Aliases

direct productD43×#2239

Splittings

FittingC43×#2239 ⋊ C2
SylowC43 ⋊ C2×#2239

Subgroups

subgroupG/H
centerC2#481×D43
commutator, cosocleC2×C8×C43C24
FrattiniC2×C8C23×D43
FittingC43×#2239C2
socleC2×C43C2×#481
prime radicalC23×D43SD16
hypercenter#2239D43
hypocenterC43C2×#2239
LCSG ▷ C2×C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×M16 ◁ #2239

552 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

460 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 324455);