| extension | φ:Q→Aut N | d | ρ | Label | ID |
| C2.1(C42.7C22) = (C4×C8)⋊12C4 | central extension (φ=1) | 128 | | C2.1(C4^2.7C2^2) | 128,478 |
| C2.2(C42.7C22) = C42.379D4 | central extension (φ=1) | 64 | | C2.2(C4^2.7C2^2) | 128,482 |
| C2.3(C42.7C22) = C42.45Q8 | central extension (φ=1) | 128 | | C2.3(C4^2.7C2^2) | 128,500 |
| C2.4(C42.7C22) = C4⋊C4⋊3C8 | central extension (φ=1) | 128 | | C2.4(C4^2.7C2^2) | 128,648 |
| C2.5(C42.7C22) = C22⋊C4⋊4C8 | central extension (φ=1) | 64 | | C2.5(C4^2.7C2^2) | 128,655 |
| C2.6(C42.7C22) = C42.95D4 | central stem extension (φ=1) | 64 | | C2.6(C4^2.7C2^2) | 128,530 |
| C2.7(C42.7C22) = C24.53(C2×C4) | central stem extension (φ=1) | 64 | | C2.7(C4^2.7C2^2) | 128,550 |
| C2.8(C42.7C22) = C42.23Q8 | central stem extension (φ=1) | 128 | | C2.8(C4^2.7C2^2) | 128,564 |
| C2.9(C42.7C22) = C42⋊4C4.C2 | central stem extension (φ=1) | 128 | | C2.9(C4^2.7C2^2) | 128,572 |
| C2.10(C42.7C22) = (C2×C8).Q8 | central stem extension (φ=1) | 128 | | C2.10(C4^2.7C2^2) | 128,649 |
| C2.11(C42.7C22) = C23.9M4(2) | central stem extension (φ=1) | 64 | | C2.11(C4^2.7C2^2) | 128,656 |