How to add a block quote inside a github-flavoured markdown list item?

I would like to add a quote within a list (ordered or unordered) item. Indentation matters. I would like to have the quotation (blockquote) highlighting-style, not code style. Indenting the > sign removes the quote highlighting.

This works for me:

* list item 1

    > Quote (note: there must be 4 spaces before the `>`, 1-3 spaces after the `>`, and there must be blank lines before and after this quote)

    Normal, unquoted text.

* list item 2
* list item 3

which renders (with GitHub styling) as:

• list item 1

  Quote (note: there must be 4 spaces before the >, 1-3 spaces after the >, and there must be blank lines before and after this quote)

  Normal, unquoted text.

• list item 2

• list item 3

Make sure you use:

• four spaces indenting your >
• one to three spaces between > and your quoted text
• blank lines before and after the quote

This also works with numbered lists, with the above representing a single list with three items.