Are stainless steel saucepan glass lids dishwasher friendly?

The lids are most likely dishwasher safe.

Factors in dishwasher safe designation:

• Will the item be damaged by high temp water? (probably not, this is a pan)
• Will the item be damaged by the drying cycle heat elements? (probably not, it was designed to take high heat)
• Is the item susceptible to the corrosive detergents used in dish washing?

I think most better brands would pass all three factors.

The corrosion from the detergent is the wildcard. On a lesser quality brand of kitchen ware:

• Might the hardware (screw and washer) that attaches any handle knobs be a low quality metal?
• Might the glass be soft and susceptible to abrasion? Is it really glass?
• If a steel ring surrounds the lid edge, is it low quality metal?

I agree with comment: check with the manufacturer.

OT because we're talking lids here: but, most non-stick pans are not dishwasher safe. And of course: don't put your well seasoned iron cookware in a DW.

It's not always specified, but plain glass is dishwasher safe, and the knob and its fastenings must be able to take steam. That's not to say there won't be a bit of an issue - on some of ours there's a gap under the knob that fill with water in the dishwasher - and not necessarily clean water. This is especially true if the screw needs tightening. Ours always go through the dishwasher as we essentially have a policy of "it either is dishwasher safe or it wasn't" except for items with sentimental value. Very little actually gets ruined.