I want to generate 2 stacks of 3 objects around a circle but I get 1 stack of 6

I have 2 functions which generate instances of objects around the attached object's transform:

 public void GenerateChairs()
     {
         Vector3 position;
         Vector3 orientation;
 
         float angle = 0.0F;
 
         for (int i = 0; i < Game.players.Count; ++i)
         {
             angle = i * Mathf.PI * 2.0F / Game.players.Count;
             position = new Vector3(Mathf.Cos(angle) * 0.01F, transform.position.y, Mathf.Sin(angle) * 0.01F);
             orientation = transform.position - position;
             GameObject instanceOfChair = Instantiate(chair, position, Quaternion.LookRotation(orientation));
         }
     }
 
     public void GeneratePlayers()
     {
         GameObject characterType;
         Vector3 position;
         Vector3 orientation;
 
         int numberOfGeneratedCharacters = 0;
         float angle = 0.0F;
 
         while (numberOfGeneratedCharacters < Game.players.Count - 1)
         {
             characterType = Game.humanColor == 0 ? characterSlime : characterTurtle;
             angle = - numberOfGeneratedCharacters * Mathf.PI * 2.0F / Game.players.Count;
             position = new Vector3(Mathf.Cos(angle) * 3.0F, 2.5F, Mathf.Sin(angle) * 3.0F);
             orientation = transform.position - position;
             GameObject computerCharacter = Instantiate(characterType, position, Quaternion.LookRotation(orientation));
             computerCharacter.name = "Player " + (numberOfGeneratedCharacters + 2).ToString();
             Game.characters.Add(computerCharacter);
             computerCharacter.transform.Rotate(-60.0F, 0, 0, Space.Self);
             numberOfGeneratedCharacters++;
         }
 
         angle = - numberOfGeneratedCharacters * Mathf.PI * 2.0F / Game.players.Count;
         characterType = Game.humanColor == 0 ? characterTurtle : characterSlime;
         position = new Vector3(Mathf.Cos(angle) * 3.0F, 2.5F, Mathf.Sin(angle) * 3.0F);
         orientation = transform.position - position;
         GameObject humanCharacter = Instantiate(characterType, position, Quaternion.LookRotation(orientation));
         humanCharacter.name = "Player 1";
         Game.characters.Insert(0, humanCharacter);
         humanCharacter.transform.Rotate(-60.0F, 0, 0, Space.Self);
     }

Basically I want Game.players.Count characters rendered 2.5F above Game.player.Count chairs, but in the end I get a sequence of PLAYER - CHAIR - PLAYER - CHAIR in a hexagon around the table. What did I do wrong with the math?