Finite Group Databasebeta

D43×#1999 #25123377

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C28

Aliases

direct productD43×#1999

Splittings

FittingC43×#1999 ⋊ C2
SylowC43 ⋊ C2×#1999

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1999C2
socleC23×C43C22×D4
hypercenter#1999D43
hypocenterC43C2×#1999
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1999

2870 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 196348);