Finite Group Databasebeta

D43×#1437 #25017730

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD43×#1437

Splittings

FittingC43×#1437 ⋊ C2
SylowC43 ⋊ C2×#1437

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC43×#1437C2
socle, cosocleC24×C43C24
prime radicalC25×D43C22
hypercenter#1437D43
hypocenterC43C2×#1437
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1437

5230 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90701);