Finite Group Databasebeta

#391×Dic47 #26137481

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42

Aliases

direct product#391×Dic47

Splittings

SylowC47 ⋊ C4×#391

Subgroups

subgroupG/H
center, FrattiniC24C23×D47
commutatorC22×C47C22×C42
FittingC2×C47×#391C2
socle, prime radical, cosocleC24×C47C24
hypercenterC2×#391D47
hypocenterC47C4×#391
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#391

2110 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, 90771);