Finite Group Databasebeta

C2×C5×C23×C173 #51433341

order39790
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC39790
abelianC2×C5×C23×C173
multiplicative(ℤ/39791)ˣ, (ℤ/79582)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

39790 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC39791
outer automorphism group ofC39791

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39790, 1);