Finite Group Databasebeta

C2×#471×D43 #25963966

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

Aliases

direct productC2×#471×D43

Splittings

FittingC2×C43×#471 ⋊ C2
SylowC43 ⋊ C22×#471

Subgroups

subgroupG/H
centerC22#121×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#471C2
socleC22×C43C2×#121
prime radicalC2×AGL(1,ℤ/8)×D43C2
hypercenterC2×#471D43
hypocenterC43C22×#471
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#471

2758 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, 1036937);