Finite Group Databasebeta

D47×#2021 #26243506

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C28

Aliases

direct productD47×#2021

Splittings

FittingC47×#2021 ⋊ C2
SylowC47 ⋊ C2×#2021

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC24×C47C24
FrattiniC24C23×D47
FittingC47×#2021C2
socleC22×C47C2×#120
hypercenter#2021D47
hypocenterC47C2×#2021
LCSG ▷ C24×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C24 ◁ #2021

3986 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, 196796);