Finite Group Databasebeta

C2×C3×C10271 #69849793

order61626
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC61626
abelianC2×C3×C10271
multiplicative(ℤ/61627)ˣ, (ℤ/123254)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

61626 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC61627
outer automorphism group ofC61627

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(61626, 4);