Finite Group Databasebeta

C2×C3×C9781 #67546732

order58686
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58686
abelianC2×C3×C9781
multiplicative(ℤ/58687)ˣ, (ℤ/117374)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58686 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58687
outer automorphism group ofC58687

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58686, 6);