Finite Group Databasebeta

C2×C3×C10313 #70969860

order61878
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61878
abelianC2×C3×C10313
multiplicative(ℤ/61879)ˣ, (ℤ/123758)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61878 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61879
outer automorphism group ofC61879

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61878, 4);