Finite Group Databasebeta

C2×#20244674 #26244132

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#20244674

Splittings

FittingC22×#104×C47 ⋊ C2
SylowC47 ⋊ C2×#2050

Subgroups

subgroupG/H
centerC2×C4#13094010
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC22×#104×C47C2
socleC22×C47#394
prime radicalC2×#15689921C2
hypercenterC22×#104D47
hypocenterC47C2×#2050
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#104

1382 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, 197422);