Finite Group Databasebeta

C2×C3×C53×C131 #52638086

order41658
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC41658
abelianC2×C3×C53×C131
multiplicative(ℤ/41659)ˣ, (ℤ/83318)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

41658 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC41659
outer automorphism group ofC41659

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(41658, 1);