Finite Group Databasebeta

D43×#1460 #25062397

order11008
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25×C4

Aliases

direct productD43×#1460

Splittings

FittingC43×#1460 ⋊ C2
SylowC43 ⋊ C2×#1460

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C23×C8
FrattiniC22×C4C23×D43
FittingC43×#1460C2
socleC22×C43C22×C22⋊C4
prime radicalC22×D4×D43C4
cosocleC22×C4×C43C24
hypercenter#1460D43
hypocenterC43C2×#1460
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1460

1714 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, 135368);