Look at Weintraub "Representation theory ... " for Mackey Machine (pg 120 or so).

Edit in response to Mackey Maschine for semidirect product. The reference does not give a solution to the problem, but studying the Mackey machine/Clifford theory seems like the right starting point for a semidirect product.

Look at Weintraub "Representation theory ... " for Mackey Machine (pg 120 or so).

Edit in response to Mackey Maschine for semidirect product. The reference does not give a solution to the problem, but studying the Mackey machine/Clifford theory seems like the right starting point for a semidirect product.

Look at Weintraub "Representation theory ... " for Mackey Machine (pg 120 or so).

Look at Weintraub "Representation theory ... " for Mackey Machine (pg 120 or so).

Edit in response to Mackey Maschine for semidirect product. The reference does not give a solution to the problem, but studying the Mackey machine/Clifford theory seems like the right starting point for a semidirect product.