Finite Group Databasebeta

D43×#1740 #25094026

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4

Aliases

direct productD43×#1740

Splittings

FittingC43×#1740 ⋊ C2
SylowC43 ⋊ C2×#1740

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC43×#1740C2
socleC22×C43C22×C22⋊C4
prime radicalC24×D43C23
cosocleC24×C43C24
hypercenter#1740D43
hypocenterC43C2×#1740
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1740

2350 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, 166997);