Finite Group Databasebeta

#543×Dic47 #26375433

order12032
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct product#543×Dic47

Splittings

SylowC47 ⋊ C4×#543

Subgroups

subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC2×C47×#543C2
socle, cosocleC23×C47C25
prime radicalC25×C47C23
hypercenterC2×#543D47
hypocenterC47C4×#543
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#543

2602 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, 328723);