Finite Group Databasebeta

C2×C3×C8461 #61798520

order50766
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC50766
abelianC2×C3×C8461
multiplicative(ℤ/50767)ˣ, (ℤ/101534)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

50766 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC50767
outer automorphism group ofC50767

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(50766, 6);