Finite Group Databasebeta

C4×C7×C17×C83 #51428635

order39508
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC39508
abelianC4×C7×C17×C83
multiplicative(ℤ/39509)ˣ, (ℤ/79018)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

39508 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC39509
outer automorphism group ofC39509

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39508, 1);