Finite Group Databasebeta

C2×#20242952 #26198846

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productC2×#20242952

Splittings

FittingC2×C47×#332 ⋊ C2
SylowC47 ⋊ C2×#1701

Subgroups

subgroupG/H
centerC23#13093997
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC2×C47×#332C2
socleC23×C47#121
prime radicalC2×#15689319C2
hypercenterC2×#332D47
hypocenterC47C2×#1701
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#332

810 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

920 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 152136);