Finite Group Databasebeta

C4×#15688979 #26137486

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC4×#15688979

Splittings

SylowC47 ⋊ C4×#379

Subgroups

subgroupG/H
centerC23×C4C22×D47
commutatorC22×C47C22×C42
FrattiniC24C23×D47
FittingC25×C4×C47C2
socle, cosocleC24×C47C24
prime radicalC26×C47C22
hypercenterC25×C4D47
hypocenterC47C4×#379
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C25×C4

6734 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3056 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90776);