Finite Group Databasebeta

C16×C3583 #65291263

order57328
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC57328
abelianC16×C3583
multiplicative(ℤ/57329)ˣ, (ℤ/114658)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

57328 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC57329
outer automorphism group ofC57329

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(57328, 1);