Finite Group Databasebeta

D47×#1598 #26188441

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

Aliases

direct productD47×#1598

Splittings

FittingC47×#1598 ⋊ C2
SylowC47 ⋊ C2×#1598

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#1598C2
socleC22×C47C2×#120
hypercenter#1598D47
hypocenterC47C2×#1598
LCSG ▷ C22×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1598

1652 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, 141731);