Finite Group Databasebeta

#347×Dic47 #26131104

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

Aliases

direct product#347×Dic47

Splittings

SylowC47 ⋊ C4×#347

Subgroups

subgroupG/H
centerC2×C4C42×D47
commutatorC4×C47C43
FrattiniC22×C8C22×D47
FittingC2×C47×#347C2
socleC22×C47C2×#97
prime radicalC23×C47C2×M16
cosocleC22×C8×C47C23
hypercenterC2×#347D47
hypocenterC47C4×#347
LCSG ▷ C4×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×#347

418 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, 84394);