Finite Group Databasebeta

D4×C47⋊#95 #26137748

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

Aliases

direct productD4×C47⋊#95

Splittings

SylowC47 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D47
commutatorC22×C47C22×C42
FittingC22×C4×D4×C47C2
socle, cosocleC24×C47C24
prime radicalC23×D4×C47C22
hypercenterC22×C4×D4D47
hypocenterC47D4×#95
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C4×D4

3562 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1940 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 91038);