Finite Group Databasebeta

D47×#1608 #26188402

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

Aliases

direct productD47×#1608

Splittings

FittingC47×#1608 ⋊ C2
SylowC47 ⋊ C2×#1608

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#1608C2
socleC22×C47C2×#120
prime radicalC24×D47D4
hypercenter#1608D47
hypocenterC47C2×#1608
LCSG ▷ C22×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1608

1136 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, 141692);