Finite Group Databasebeta

D43×#1609 #25068733

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD43×#1609

Splittings

FittingC43×#1609 ⋊ C2
SylowC43 ⋊ C2×#1609

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1609C2
socleC22×C43C2×#120
prime radical#121×D43C22
hypercenter#1609D43
hypocenterC43C2×#1609
LCSG ▷ C22×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1609

1060 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, 141704);