Finite Group Databasebeta

C2×C3×C5×C17×C83 #53733358

order42330
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC42330
abelianC2×C3×C5×C17×C83
multiplicative(ℤ/42331)ˣ, (ℤ/84662)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

42330 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC42331
outer automorphism group ofC42331

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(42330, 1);