Finite Group Databasebeta

D47×#1624 #26192157

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24×C4

Aliases

direct productD47×#1624

Splittings

FittingC47×#1624 ⋊ C2
SylowC47 ⋊ C2×#1624

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC47×#1624C2
socleC22×C47C2×#120
hypercenter#1624D47
hypocenterC47C2×#1624
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C42 ◁ #1624

1190 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, 145447);