Finite Group Databasebeta

C4×#15688900 #26131105

order12032
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C42

Aliases

direct productC4×#15688900

Splittings

SylowC47 ⋊ C4×#347

Subgroups

subgroupG/H
centerC42C4×Dic47
commutatorC4×C47C43
FrattiniC22×C8C22×D47
FittingC4×M32×C47C2
socleC22×C47C2×#97
prime radicalC23×C47C2×M16
cosocleC22×C8×C47C23
hypercenterC4×M32D47
hypocenterC47C4×#347
LCSG ▷ C4×C47 ▷ C47
UCSC1 ◁ C42 ◁ C4×M32

418 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1928 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 84395);