Could someone drop me a clue about the meaning of this obscure phrase, please. (See Details)

While reading about a musical group which appeared on TV tonight, it was stated that their music was heavily influenced by C86-style British indie pop.
Huh ?

I have rather eclectic musical tastes and at least a nodding acquaintance with a pretty wide range of musical styles. While I’m certainly no music maven, I don’t think I’m a total dumbass either.

But I have no idea what associations that nebulous phrase is supposed bring to mind. Anybody heard of this ?
Am I the only one who has no idea what “C86-style” indicates?

What is it suppoed to mean? Am I that hopelessly out of touch or is this just being way too obscure ?

The name of the band (which was on Letterman tonight) was The Aislers Set (which means nothing to me either but I really liked their sound)

I don’t mean to be picky here, but if they really want to become better known or popular, couldn’t they have picked a better name ? The Aislers Set doesn’t exactly trip off the tongue, does it ?