| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×C46 | 368 | C2^3xC46 | 368,42 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C2.1(C22×C46) = D4×C46 | central stem extension (φ=1) | 184 | C2.1(C2^2xC46) | 368,38 | |
| C2.2(C22×C46) = Q8×C46 | central stem extension (φ=1) | 368 | C2.2(C2^2xC46) | 368,39 | |
| C2.3(C22×C46) = C4○D4×C23 | central stem extension (φ=1) | 184 | 2 | C2.3(C2^2xC46) | 368,40 |