Finite Group Databasebeta

C2×#19133660 #25072452

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#19133660

Splittings

FittingC2×C43×#550 ⋊ C2
SylowC43 ⋊ C2×#1621

Subgroups

subgroupG/H
centerC23#13063294
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×#550C2
socleC23×C43#120
hypercenterC2×#550D43
hypocenterC43C2×#1621
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#550

1438 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1102 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 145423);