Finite Group Databasebeta

D43×#2946 #25960686

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productD43×#2946

Splittings

FittingC43×#2946 ⋊ C2
SylowC43 ⋊ C2×#2946

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2946C2
socleC22×C43C23×D4
prime radicalC2×AGL(1,ℤ/8)×D43C2
cosocleC2×C4×C43C25
hypercenter#2946D43
hypocenterC43C2×#2946
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2946

2946 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033657);