Finite Group Databasebeta

D47×#1615 #26188422

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD47×#1615

Splittings

FittingC47×#1615 ⋊ C2
SylowC47 ⋊ C2×#1615

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#1615C2
socleC22×C47C2×#120
prime radical#121×D47C22
hypercenter#1615D47
hypocenterC47C2×#1615
LCSG ▷ C22×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1615

1016 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

575 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 141712);