Finite Group Databasebeta

#342×Dic47 #26121479

order12032
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct product#342×Dic47

Splittings

SylowC47 ⋊ C4×#342

Subgroups

subgroupG/H
centerC23C22⋊C4×D47
commutatorC22×C47C43
FrattiniC25C22×D47
FittingC2×C47×#342C2
socleC23×C47C2×C22⋊C4
prime radical, cosocleC25×C47C23
hypercenterC2×#342D47
hypocenterC47C4×#342
LCSG ▷ C22×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C25 ◁ C2×#342

1482 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, 74769);