Finite Group Databasebeta

#379×Dic47 #26137485

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct product#379×Dic47

Splittings

SylowC47 ⋊ C4×#379

Subgroups

subgroupG/H
center, FrattiniC24C23×D47
commutatorC22×C47C22×C42
FittingC2×C47×#379C2
socle, cosocleC24×C47C24
prime radicalC26×C47C22
hypercenterC2×#379D47
hypocenterC47C4×#379
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#379

6734 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90775);