Finite Group Databasebeta

C2×#396×D43 #25262797

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC2×#396×D43

Splittings

FittingC2×C43×#396 ⋊ C2
SylowC43 ⋊ C22×#396

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#396C2
socleC24×C43C24
prime radicalC25×D43C22
hypercenterC2×#396D43
hypocenterC43C22×#396
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#396

5838 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, 335768);