n=3 q=8: U-group order q^2 ok, form preserved, 200 random element orders ok; |<gens>| = 29120 = q^2(q^2+1)(q-1)
n=5 q=32: U-group order q^2 ok, form preserved, 200 random element orders ok
n=7 q=128: U-group order q^2 ok, form preserved, 200 random element orders ok
