Finite Group Databasebeta

C2×#19144315 #25963992

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

Aliases

direct productC2×#19144315

Splittings

FittingC22×#131×C43 ⋊ C2
SylowC43 ⋊ C2×#3067

Subgroups

subgroupG/H
centerC2×C4#13063299
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×#131×C43C2
socleC22×C43C2×#121
hypercenterC22×#131D43
hypocenterC43C2×#3067
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#131

2650 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1744 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1036963);