It's hard to tell exactly where everything goes, but if you're having trouble getting it to oscillate, then it might be a couple things
1) it needs to be said... double check all your connections carefully. I've been known to find something on the 3rd or 4th check.
2) check the crystal is really seated tightly, some of those little crystals have small leads that might not press all the way down into the breadboard.
3) switch to another chip, or another invertor in the same chip if you only have 1. Maybe the chip is damaged.
4) those extra long leads might have too much inductance, that will load the crystal too much and it won't oscillate.
5) you might try it without the 2 capacitors to ground. The breadboard has a lot of excess capacitance already, and putting the 2 caps on the crystal might cause it to not oscillate. So take them off and see what happens.