Finite Group Databasebeta

C2×#19134163 #25079261

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productC2×#19134163

Splittings

FittingC2×C43×#446 ⋊ C2
SylowC43 ⋊ C2×#1702

Subgroups

subgroupG/H
centerC23#13063299
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×#446C2
socleC23×C43#121
prime radicalC2×#13063322C22
hypercenterC2×#446D43
hypocenterC43C2×#1702
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#446

734 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1222 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 152232);