Finite Group Databasebeta

D43×#2398 #25262864

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

Aliases

direct productD43×#2398

Splittings

FittingC43×#2398 ⋊ C2
SylowC43 ⋊ C2×#2398

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#2398C2
prime radicalC22×D4×D43C22
hypercenter#2398D43
hypocenterC43C2×#2398
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2398

3246 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, 335835);