Finite Group Databasebeta

C2×#19147260 #25976186

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

Aliases

direct productC2×#19147260

Splittings

FittingC2×C43×#486 ⋊ C2
SylowC43 ⋊ C2×#3361

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#486C2
socleC23×C43C22×D4
prime radicalC2×#14583091C2
hypercenterC2×#486D43
hypocenterC43C2×#3361
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#486

1970 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

994 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1049157);