Finite Group Databasebeta

C2×C3×C5×C7×C13×C23 #70996751

order62790
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC62790
abelianC2×C3×C5×C7×C13×C23
multiplicative(ℤ/62791)ˣ, (ℤ/125582)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

62790 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC62791
outer automorphism group ofC62791

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(62790, 1);