REMOVE A WORD: “Me and Mike like ice cream.” becomes “Me like ice cream.” Apparently, that’s not it, so the original sentence should have been “I and Mike (both) like ice cream.”
ANSWER A QUESTION: “Who should I ask?” The answer could be: “You should ask hiM.” Therefore, the first sentence should have been “Whom should I ask?”—the ‘m’s match.
ASK A QUESTION: “industrial music group”: What kind of group? The industrial kind (as well as music kind)
as opposed to
“industrial-music group”: What kind of group? The industrial-music kind
CHANGE THE ORDER: The expression “music industrial group” fails in a different way (and also means something very different) than the expression “red big house” would fail in comparison to “big red house” (so, a hyphen was needed).
“Big red house” is both correct and proper, and a hyphen would be wrong between ‘big’ and ‘red’. The two modifiers ‘big’ and ‘red’ are independent of each other; they act separately. The house could also have been small and red, or big and green.
The other two modifiers, ‘industrial’ and ‘music’ (the latter a noun that tells what type of group) are not independent when what we mean is Einstuerzende Neubauten or Cabaret Voltaire. The opposite is true when we are talking about Roland, Yamaha, Korg, and Nord, for example.