Finite Group Databasebeta

C2×#19144312 #25963989

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

Aliases

direct productC2×#19144312

Splittings

FittingC2×C43×#575 ⋊ C2
SylowC43 ⋊ C2×#3067

Subgroups

subgroupG/H
centerC2×C4#13063297
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#575C2
socleC22×C43C2×#121
hypercenterC2×#575D43
hypocenterC43C2×#3067
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#575

2650 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

988 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1036960);