Finite Group Databasebeta

C3×C4×C5×C659 #51428835

order39540
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC39540
abelianC3×C4×C5×C659
multiplicative(ℤ/39541)ˣ, (ℤ/79082)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

39540 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC39541
outer automorphism group ofC39541

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39540, 1);