Finite Group Databasebeta

D47×#2081 #26245211

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD47×#2081

Splittings

FittingC47×#2081 ⋊ C2
SylowC47 ⋊ C2×#2081

Subgroups

subgroupG/H
centerC2#397×D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#2081C2
socleC2×C47C2×#397
prime radicalC22×D4×D47C22
hypercenter#2081D47
hypocenterC47C2×#2081
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2 ◁ C22×C4 ◁ #2081

1006 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, 198501);