Finite Group Databasebeta

C2×#19143142 #25960196

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#19143142

Splittings

SylowC43 ⋊ C2×#2901

Subgroups

subgroupG/H
centerC2×C4C22×C22⋊D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
Fitting, prime radicalC2×C43×#585C2
socleC22×C43C22×C22⋊C4
cosocleC2×C4×C43C25
hypercenterC2×#585D43
hypocenterC43C2×#2901
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C22×#41 ◁ C2×#585

4946 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1516 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033167);