Finite Group Databasebeta

C2×#19143141 #25960195

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

Aliases

direct productC2×#19143141

Splittings

FittingC2×C43×#421 ⋊ C2
SylowC43 ⋊ C2×#2901

Subgroups

subgroupG/H
centerC2×C4C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#421C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#14583735C2
cosocleC2×C4×C43C25
hypercenterC2×#421D43
hypocenterC43C2×#2901
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#421

4946 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033166);