Finite Group Databasebeta

C2×C5×C7×C571 #51454717

order39970
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC39970
abelianC2×C5×C7×C571
multiplicative(ℤ/39971)ˣ, (ℤ/79942)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

39970 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC39971
outer automorphism group ofC39971

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39970, 1);