Finite Group Databasebeta

C2×#20244639 #26244038

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C27

Aliases

direct productC2×#20244639

Splittings

FittingC2×C47×#385 ⋊ C2
SylowC47 ⋊ C2×#2044

Subgroups

subgroupG/H
centerC23#13093992
commutator, cosocleC24×C47C24
FrattiniC24C23×D47
FittingC2×C47×#385C2
socleC23×C47#120
prime radicalC2×#15689685C2
hypercenterC2×#385D47
hypocenterC47C2×#2044
LCSG ▷ C24×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C25 ◁ C2×#385

2046 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1340 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 197328);