Finite Group Databasebeta

D47×#1720 #26204038

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C8

Aliases

direct productD47×#1720

Splittings

FittingC47×#1720 ⋊ C2
SylowC47 ⋊ C2×#1720

Subgroups

subgroupG/H
centerC22#127×D47
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC47×#1720C2
socleC22×C47C2×#127
prime radical#127×D47C22
hypercenter#1720D47
hypocenterC47C2×#1720
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C42 ◁ #1720

850 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

650 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 157328);