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I need to have roughly 4x as much power driving the subs as I do the Omegas?
You probably have it wired wrong.
I would not jump directly to that conclusion. If the sensitivities you specify are accurate, it might indeed be necessary to have 4 times as much power to maintain equivalent high sound pressure levels at a given frequency. But you are not matching levels at a given frequency - the subs get a completely different signal, i.e., the low frequency component of the music, and therefore power matching is not nearly as simple a matter as that.
Furthermore, you do not state the sensitivities of your amplifiers - if the variable out of your main amp is not large enough to drive the sub amp to maximum, it doesn't matter what that maximum power is - you won't get it. Also, you may be laboring under a misapprehension - if your crossover frequency is sufficiently low, as is often recommended (say, 70 Hz or lower), there really is not much music down there and it would not be surprising to not feel the woofers move, except for rock music.
Bottom line, there are a lot of variables beyond just power requirements to match SPL's. I'm sorry to say the sub integration will take a good deal more figuring, in my opinion.
1.) Get a good night's sleep and with a fresh start double check all your connections.
2.) If all is good look for some sort of bass filter feature on the Hegel (perhaps buried in a menu accessed only via remote control and called something else).3.) If no hidden bass filter check all external/internal fuses and circuit breakers (if on a different wall receptacle? Might have blown a fuse or tripped a breaker hooking everything up.
4.) If no blown fuses/tripped breakers next carefully (with a low volume signal) try the fixed output from the Hegel (if it has one). This would check the Hegel's variable output. 5.) If still no signal connect the subs to the Hegel speaker outputs directly. (Some prefer this approach if they want to hear the Hegel's power amp. You're right the efficiency mismatch requires the use of the Daytons.) The Fried D/2's have got to be old (not familiar with them, but was a Fried cult member back in the day), maybe they just died (but both at once?) or you blew them up (hard to do without knowing it). You should get bass if they haven't died/been blown.
6.) If that worked check the Daytons. Do they have high level inputs? If so try connecting them to the Hegel's speaker output to the Daytons via speaker cables/zip cord to check to see if the Dayton's output amps are working. If still no signal, the Daytons have somehow been damaged.
7.) If still no signal next try hooking up the Daytons to the Omegas (via line and speaker outputs), this would double check Daytons.
If none of this works seems to me the line outputs from the Hegel is the only variable left. Is the amp new? If so, can it be returned/exchanged? If not find out it's output voltage/impedance.
Go back to step 5, connect the subs to the Hegel to see if the subs are working.If the subs work, next try feeding the Daytons a source signal (starting with the volume turned way down) while connected to the subs. If that works the problem must lay with the Hegel line level outputs.
Try reversing the phase on the subs. Even though you think they are wired correctly, sometimes it helps to experiment.
With just the subs hooked up to the Hegel preout and the volume all the way up, you only had a little bass?Where is the v/c set when driving the Omegas?
Hegel - Dayton - subs I can't believe you knew to ask about overloading the Dayton input, but can't figure out what the problem is.How hard is it to insert your other pre and raise the volume like recommended.
There are plenty of people that could tell you what you need to know in 30 min if they were at your house.Internet problem solving is a pain.