Finite Group Databasebeta

C2×C3×C61×C163 #68712855

order59658
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC59658
abelianC2×C3×C61×C163
multiplicative(ℤ/59659)ˣ, (ℤ/119318)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

59658 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC59659
outer automorphism group ofC59659

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(59658, 1);