How do I change a table that is "organized" inside of a "for" loop back into a table?

I have a spectate gui that is supposed to cycle through only players that have a value inside of them set to true, using a for loop to do this. Here's the script:

function clicked()
    local players = game.Players:GetChildren()
    local num = script.Parent.Parent.p
    local camera = game.Workspace.CurrentCamera
    local characterImageFormat='http://www.roblox.com/Thumbs/Avatar.ashx?x=352&y=352&format=png&userid=%d';
    if players[2] == nil then
        local spgui = game.Players.LocalPlayer.PlayerGui.spectategui.Frame
        local players = game.Players:GetChildren()
        local camera = game.Workspace.CurrentCamera
        camera.CameraSubject = game.Players.LocalPlayer.Character.Humanoid
        spgui.ImageLabel.Image = ""
        spgui.t.Text = "No players in the server."
        return
    end
    for a, players in ipairs(players) do
        if players.IsPlaying.Value == true then
            num.Value = num.Value + 1
            if players[num.Value] == nil then -- This is where the script breaks
                num.Value = 1
                if players[num.Value].Name == game.Players.LocalPlayer.Name then
                    num.Value = num.Value + 1
                    camera.CameraSubject = players[num.Value].Character.Humanoid
                    script.Parent.Parent.ImageLabel.Image = 
                    characterImageFormat:format(players[num.Value].userId)
                    script.Parent.Parent.t.Text = players[num.Value].Name
                else
                    camera.CameraSubject = players[num.Value].Character.Humanoid
                    script.Parent.Parent.ImageLabel.Image = 
                    characterImageFormat:format(players[num.Value].userId)
                    script.Parent.Parent.t.Text = players[num.Value].Name
                end
            else
                if players[num.Value].Name == game.Players.LocalPlayer.Name then
                    num.Value = num.Value + 1
                    if players[num.Value] == nil then
                        num.Value = 1
                        if players[num.Value].Name == game.Players.LocalPlayer.Name then
                            num.Value = num.Value + 1
                            camera.CameraSubject = players[num.Value].Character.Humanoid
                            script.Parent.Parent.ImageLabel.Image = 
                            characterImageFormat:format(players[num.Value].userId)
                            script.Parent.Parent.t.Text = players[num.Value].Name
                        else
                            camera.CameraSubject = players[num.Value].Character.Humanoid
                            script.Parent.Parent.ImageLabel.Image = 
                            characterImageFormat:format(players[num.Value].userId)
                            script.Parent.Parent.t.Text = players[num.Value].Name
                        end
                    end
                else
                    camera.CameraSubject = players[num.Value].Character.Humanoid
                    script.Parent.Parent.ImageLabel.Image = 
                    characterImageFormat:format(players[num.Value].userId)
                    script.Parent.Parent.t.Text = players[num.Value].Name
                end
            end
        end
    end
end

script.Parent.MouseButton1Down:connect(clicked)

The problem is that later on in the script, I want to target specific players inside a table (i.e. players[6]), but it instead treats it as a property, making the script break. I need to find out how to shorten a table inside a for loop AND keep it as a table so that using something like players[3] wouldn't break the script.