Why does a mirror split my laser beam?

Last night my daughter was asking why a mirror "always does that" (referring to reflecting a spot of light). To help her figure it out, I grabbed my green laser pointer so she could see the light traveling from the source and reflecting off the mirror. But as we were playing, I noticed something strange. Rather than one spot, there were several. When I adjusted the angle to something fairly obtuse The effect became quite pronounced And when you looked closely, you could actually see several beams (Of course, the beams actually looked like beams in real life. The picture gives the beams an elongated hourglass shape because those parts are out of focus.) I made these observations: The shallower the angle, the greater the spread of the split beams and resulting dots. The directionality of the reflection is due to the orientation of the mirror, not the laser pointer itself. Indeed, by rotating the mirror 360° the string of dots would make a full rotation as well. I can count at least 8 individual dots on the wall, but I could only see 6 beams with the naked eye. If you look at the split beam picture you can see a vertical line above the most intense dots. I didn't observe any intense spots of light there. And when I looked closely at the spot where the beam hit the mirror you can see a double image. This was not due to camera shake, just the light reflecting off the dust on the surface of the glass, and a reflection of that light from the rear surface of the mirror. It's been a few years since college physics, I remembered doing things like the double split experiment. I also remembered that light seems like it does some strange things when it enters liquid/prisms. I also know that the green laser has a certain wavelength, and you can measure the speed of light with a chocolate bar and a microwave. Why does the mirror split the laser beam? How does that explain the effects that I saw? Is there any relation to the double split experiment, or the wavelength/speed of light