Finite Group Databasebeta

#339×Dic47 #26121449

order12032
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C22×C42

Aliases

direct product#339×Dic47

Splittings

SylowC47 ⋊ C4×#339

Subgroups

subgroupG/H
centerC22×C4D4×D47
commutatorC4×C47C43
FrattiniC23×C4C22×D47
FittingC2×C47×#339C2
socleC23×C47C2×C22⋊C4
prime radicalC24×C47C2×D4
cosocleC23×C4×C47C23
hypercenterC2×#339D47
hypocenterC47C4×#339
LCSG ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#339

1214 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, 74739);