Finite Group Databasebeta

C2×#19145041 #25966036

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×#19145041

Splittings

FittingC22×#97×C43 ⋊ C2
SylowC43 ⋊ C2×#3150

Subgroups

subgroupG/H
centerC22×C4C2×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×#97×C43C2
socleC23×C43C22×D4
hypercenterC22×#97D43
hypocenterC43C2×#3150
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C22×#97

3326 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, 1039007);