Finite Group Databasebeta

C2×C3×C89×C109 #66405141

order58206
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC58206
abelianC2×C3×C89×C109
multiplicative(ℤ/58207)ˣ, (ℤ/116414)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

58206 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC58207
outer automorphism group ofC58207

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(58206, 1);