Finite Group Databasebeta

C2×#20242953 #26198939

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

Aliases

direct productC2×#20242953

Splittings

SylowC47 ⋊ C2×#1702

Subgroups

subgroupG/H
centerC23#13093995
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC2×C47×#486C2
socleC23×C47#121
prime radicalC2×#127×C47C22
hypercenterC2×#486D47
hypocenterC47C2×#1702
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#486

734 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1058 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 152229);