Finite Group Databasebeta

C3×C4×C5×C653 #51402804

order39180
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC39180
abelianC3×C4×C5×C653
multiplicative(ℤ/39181)ˣ, (ℤ/78362)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

39180 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC39181
outer automorphism group ofC39181

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39180, 1);