LET - ALLOW

We use Let and Allow to give someone permission to do something.
- We use Make to talk about obligation and to force someone to do something.
Make
Form :
Make + Object + Verb (Without To)
Examples :

• You should make him get a job.
• I know how to make you feel better.
• The new teacher never made us do homeworks.

Let
Form :
Let + Object + Verb (Without To)
Examples :

• My mother wouldn't let me to go to the party.
• I know, you didn't do your best. You just let me wen everytime.
• They won't let their children make their own decisions.

Allow
Active form :
Allow + Object + to + Verb
Passive form :
Be + allowed + to + verb
Examples :

• They always allow me to hang out with my friends and stay out late.
• We are not allowed to go there.
• Are they allowed to wear costumes this Halloween ? 
• FROM http://www.falibo.com/video/1610/English-Grammar--Make--Let--Allow