Finite Group Databasebeta

C2×C32561 #72155877

order65122
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC65122
abelianC2×C32561
multiplicative(ℤ/65123)ˣ, (ℤ/130246)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

65122 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC65123
outer automorphism group ofC65123

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(65122, 2);