Finite Group Databasebeta

C2×#19137898 #25262899

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27

Aliases

direct productC2×#19137898

Splittings

FittingC2×C43×#401 ⋊ C2
SylowC43 ⋊ C2×#2401

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#401C2
socleC24×C43C24
prime radicalC24×D43C23
hypercenterC2×#401D43
hypocenterC43C2×#2401
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#401

2294 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, 335870);