Finite Group Databasebeta

D43×#2311 #25255158

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4

Aliases

direct productD43×#2311

Splittings

FittingC43×#2311 ⋊ C2
SylowC43 ⋊ C2×#2311

Subgroups

subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2311C2
socle, cosocleC23×C43C25
prime radicalC22×#41×D43C2
hypercenter#2311D43
hypocenterC43C2×#2311
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2311

5822 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, 328129);