Finite Group Databasebeta

C2×C3×C10223 #69848920

order61338
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61338
abelianC2×C3×C10223
multiplicative(ℤ/61339)ˣ, (ℤ/122678)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61338 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61339
outer automorphism group ofC61339

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61338, 4);