Finite Group Databasebeta

C2×#19145293 #25966508

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19145293

Splittings

FittingC22×#97×C43 ⋊ C2
SylowC43 ⋊ C2×#3180

Subgroups

subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×#97×C43C2
socleC23×C43C22×D4
hypercenterC22×#97D43
hypocenterC43C2×#3180
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C42 ◁ C22×#97

2278 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, 1039479);