Finite Group Databasebeta

D47×#2401 #26382573

order12032
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27

Aliases

direct productD47×#2401

Splittings

FittingC47×#2401 ⋊ C2
SylowC47 ⋊ C2×#2401

Subgroups

subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC47×#2401C2
prime radicalC24×D47C23
hypercenter#2401D47
hypocenterC47C2×#2401
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2401

2294 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 335863);