Finite Group Databasebeta

D43×#2020 #25123793

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C27

Aliases

direct productD43×#2020

Splittings

FittingC43×#2020 ⋊ C2
SylowC43 ⋊ C2×#2020

Subgroups

subgroupG/H
centerC22#121×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2020C2
socleC22×C43C2×#121
prime radicalC2×#41×D43C22
hypercenter#2020D43
hypocenterC43C2×#2020
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2020

1902 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, 196764);