Finite Group Databasebeta

C2×C3×C10687 #71045455

order64122
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC64122
abelianC2×C3×C10687
multiplicative(ℤ/64123)ˣ, (ℤ/128246)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

64122 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC64123
outer automorphism group ofC64123

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(64122, 6);