Finite Group Databasebeta

D47×#1603 #26188371

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD47×#1603

Splittings

FittingC47×#1603 ⋊ C2
SylowC47 ⋊ C2×#1603

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#1603C2
socleC22×C47C2×#120
prime radical#121×D47C22
hypercenter#1603D47
hypocenterC47C2×#1603
LCSG ▷ C22×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1603

1232 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, 141661);