Finite Group Databasebeta

C2×#20241598 #26137314

order12032
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C22

Aliases

direct productC2×#20241598

Splittings

FittingC2×C47×C64 ⋊ C2
SylowC47 ⋊ C2×M128

Subgroups

subgroupG/H
centerC2×C32C2×D47
commutatorC2×C47C22×C32
FrattiniC32C22×D47
FittingC2×C47×C64C2
socleC22×C47C2×C32
prime radicalC22×D47C32
cosocleC32×C47C23
hypercenterC2×C64D47
hypocenterC47C2×M128
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C32 ◁ C2×C64

134 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3104 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90604);