Finite Group Databasebeta

D47×#2044 #26244034

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C27

Aliases

direct productD47×#2044

Splittings

FittingC47×#2044 ⋊ C2
SylowC47 ⋊ C2×#2044

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC24×C47C24
FrattiniC24C23×D47
FittingC47×#2044C2
socleC22×C47C2×#120
prime radical#534×D47C2
hypercenter#2044D47
hypocenterC47C2×#2044
LCSG ▷ C24×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C24 ◁ #2044

2046 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, 197324);