Finite Group Databasebeta

C2×C3×C23×C289 #51453228

order39882
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC39882
abelianC2×C3×C23×C289
multiplicative(ℤ/39883)ˣ, (ℤ/79766)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

39882 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC39883
outer automorphism group ofC39883

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39882, 1);