Finite Group Databasebeta

C2×#19143113 #25960138

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#19143113

Splittings

FittingC2×C43×#419 ⋊ C2
SylowC43 ⋊ C2×#2896

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#419C2
socleC23×C43C22×D4
prime radicalC23×#10621902C2
cosocleC2×C4×C43C25
hypercenterC2×#419D43
hypocenterC43C2×#2896
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#419

5198 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, 1033109);