Finite Group Databasebeta

C32×C53×C83 #51429631

order39591
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C3

Aliases

abelianC32×C53×C83

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

39591 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39591, 2);