Finite Group Databasebeta

#346×Dic47 #26131098

order12032
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42

Aliases

direct product#346×Dic47

Splittings

SylowC47 ⋊ C4×#346

Subgroups

subgroupG/H
center, FrattiniC22×C8C22×D47
commutatorC2×C47C42×C8
FittingC2×C47×#346C2
socle, prime radicalC23×C47C22×C8
cosocleC22×C8×C47C23
hypercenterC2×#346D47
hypocenterC47C4×#346
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C8 ◁ C2×#346

510 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 84388);