Finite Group Databasebeta

D43×#1720 #25084357

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C8

Aliases

direct productD43×#1720

Splittings

FittingC43×#1720 ⋊ C2
SylowC43 ⋊ C2×#1720

Subgroups

subgroupG/H
centerC22#127×D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#1720C2
socleC22×C43C2×#127
prime radical#127×D43C22
hypercenter#1720D43
hypocenterC43C2×#1720
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ #1720

850 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, 157328);