Finite Group Databasebeta

C2×#19146187 #25971665

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

Aliases

direct productC2×#19146187

Splittings

FittingC2×C43×#469 ⋊ C2
SylowC43 ⋊ C2×#3271

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#469C2
socleC23×C43C22×D4
hypercenterC2×#469D43
hypocenterC43C2×#3271
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#469

2826 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, 1044636);