Finite Group Databasebeta

D43×#1635 #25072298

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

Aliases

direct productD43×#1635

Splittings

FittingC43×#1635 ⋊ C2
SylowC43 ⋊ C2×#1635

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#1635C2
socleC22×C43C2×#120
prime radical#547×D43C2
hypercenter#1635D43
hypocenterC43C2×#1635
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ #1635

1206 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 145269);