Finite Group Databasebeta

C2×#19143849 #25962974

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

Aliases

direct productC2×#19143849

Splittings

FittingC2×C43×#407 ⋊ C2
SylowC43 ⋊ C2×#3006

Subgroups

subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#407C2
socleC23×C43C22×D4
hypercenterC2×#407D43
hypocenterC43C2×#3006
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#407

5422 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1035945);