Finite Group Databasebeta

D43×#1606 #25068792

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD43×#1606

Splittings

FittingC43×#1606 ⋊ C2
SylowC43 ⋊ C2×#1606

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1606C2
socleC22×C43C2×#120
prime radical#538×D43C2
hypercenter#1606D43
hypocenterC43C2×#1606
LCSG ▷ C22×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1606

1328 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 141763);