Finite Group Databasebeta

D43×#2396 #25262847

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

Aliases

direct productD43×#2396

Splittings

FittingC43×#2396 ⋊ C2
SylowC43 ⋊ C2×#2396

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#2396C2
prime radicalC24×D43C23
hypercenter#2396D43
hypocenterC43C2×#2396
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2396

2966 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, 335818);