Finite Group Databasebeta

C2×#19146376 #25972802

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

Aliases

direct productC2×#19146376

Splittings

FittingC2×C43×#472 ⋊ C2
SylowC43 ⋊ C2×#3290

Subgroups

subgroupG/H
centerC22#14583533
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#472C2
socleC22×C43D42
hypercenterC2×#472D43
hypocenterC43C2×#3290
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#472

2650 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

730 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1045773);