Finite Group Databasebeta

D43×#2399 #25262873

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD43×#2399

Splittings

FittingC43×#2399 ⋊ C2
SylowC43 ⋊ C2×#2399

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#2399C2
prime radicalC23×D43C24
hypercenter#2399D43
hypocenterC43C2×#2399
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2399

2814 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, 335844);