Finite Group Databasebeta

C16×C3733 #68713014

order59728
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC59728
abelianC16×C3733
multiplicative(ℤ/59729)ˣ, (ℤ/119458)ˣ

Subgroups

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

Subgroup lattice not available for this group.

Conjugacy classes & character table

59728 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC59729
outer automorphism group ofC59729

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(59728, 1);