Finite Group Databasebeta

C2×#458×D43 #25963312

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#458×D43

Splittings

FittingC2×C43×#458 ⋊ C2
SylowC43 ⋊ C22×#458

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#458C2
socleC22×C43C2×#120
prime radicalC2×H(5,𝔽2)×D43C2
hypercenterC2×#458D43
hypocenterC43C22×#458
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C24 ◁ C2×#458

5294 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, 1036283);