Finite Group Databasebeta

D43×#3291 #25972811

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD43×#3291

Splittings

FittingC43×#3291 ⋊ C2
SylowC43 ⋊ C2×#3291

Subgroups

subgroupG/H
centerC2D42×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3291C2
socleC2×C43C2×D42
hypercenter#3291D43
hypocenterC43C2×#3291
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×C4 ◁ #3291

2682 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1045782);