Finite Group Databasebeta

C16×C3301 #62963874

order52816
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC52816
abelianC16×C3301
multiplicative(ℤ/52817)ˣ, (ℤ/105634)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

52816 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC52817
outer automorphism group ofC52817

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(52816, 1);