Finite Group Databasebeta

C2×#20242807 #26198657

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productC2×#20242807

Splittings

FittingC2×C47×#333 ⋊ C2
SylowC47 ⋊ C2×#1678

Subgroups

subgroupG/H
centerC23#13093997
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC2×C47×#333C2
socleC23×C47#121
prime radicalC2×#13094021C22
hypercenterC2×#333D47
hypocenterC47C2×#1678
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#333

722 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

932 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 151947);