Finite Group Databasebeta

#376×Dic47 #26137349

order12032
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C44

Aliases

direct product#376×Dic47

Splittings

SylowC47 ⋊ C4×#376

Subgroups

subgroupG/H
centerC23×C4C22×D47
commutatorC2×C47C2×C43
FrattiniC24C23×D47
FittingC2×C47×#376C2
socle, prime radical, cosocleC24×C47C24
hypercenterC2×#376D47
hypocenterC47C4×#376
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C2×#376

2302 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, 90639);