| extension | φ:Q→Aut N | d | ρ | Label | ID |
| C2.1(C7×C8.C22) = C7×C23.36D4 | central extension (φ=1) | 224 | | C2.1(C7xC8.C2^2) | 448,825 |
| C2.2(C7×C8.C22) = C7×C23.38D4 | central extension (φ=1) | 224 | | C2.2(C7xC8.C2^2) | 448,827 |
| C2.3(C7×C8.C22) = C7×M4(2)⋊C4 | central extension (φ=1) | 224 | | C2.3(C7xC8.C2^2) | 448,836 |
| C2.4(C7×C8.C22) = C7×SD16⋊C4 | central extension (φ=1) | 224 | | C2.4(C7xC8.C2^2) | 448,848 |
| C2.5(C7×C8.C22) = C7×Q16⋊C4 | central extension (φ=1) | 448 | | C2.5(C7xC8.C2^2) | 448,849 |
| C2.6(C7×C8.C22) = C7×Q8⋊D4 | central stem extension (φ=1) | 224 | | C2.6(C7xC8.C2^2) | 448,856 |
| C2.7(C7×C8.C22) = C7×C22⋊Q16 | central stem extension (φ=1) | 224 | | C2.7(C7xC8.C2^2) | 448,859 |
| C2.8(C7×C8.C22) = C7×D4.7D4 | central stem extension (φ=1) | 224 | | C2.8(C7xC8.C2^2) | 448,860 |
| C2.9(C7×C8.C22) = C7×D4.D4 | central stem extension (φ=1) | 224 | | C2.9(C7xC8.C2^2) | 448,869 |
| C2.10(C7×C8.C22) = C7×C4⋊2Q16 | central stem extension (φ=1) | 448 | | C2.10(C7xC8.C2^2) | 448,870 |
| C2.11(C7×C8.C22) = C7×Q8.D4 | central stem extension (φ=1) | 224 | | C2.11(C7xC8.C2^2) | 448,872 |
| C2.12(C7×C8.C22) = C7×C8⋊D4 | central stem extension (φ=1) | 224 | | C2.12(C7xC8.C2^2) | 448,876 |
| C2.13(C7×C8.C22) = C7×C8.D4 | central stem extension (φ=1) | 224 | | C2.13(C7xC8.C2^2) | 448,878 |
| C2.14(C7×C8.C22) = C7×D4⋊Q8 | central stem extension (φ=1) | 224 | | C2.14(C7xC8.C2^2) | 448,882 |
| C2.15(C7×C8.C22) = C7×Q8⋊Q8 | central stem extension (φ=1) | 448 | | C2.15(C7xC8.C2^2) | 448,883 |
| C2.16(C7×C8.C22) = C7×Q8.Q8 | central stem extension (φ=1) | 448 | | C2.16(C7xC8.C2^2) | 448,887 |
| C2.17(C7×C8.C22) = C7×C22.D8 | central stem extension (φ=1) | 224 | | C2.17(C7xC8.C2^2) | 448,888 |
| C2.18(C7×C8.C22) = C7×C23.47D4 | central stem extension (φ=1) | 224 | | C2.18(C7xC8.C2^2) | 448,891 |
| C2.19(C7×C8.C22) = C7×C23.20D4 | central stem extension (φ=1) | 224 | | C2.19(C7xC8.C2^2) | 448,893 |
| C2.20(C7×C8.C22) = C7×C42.28C22 | central stem extension (φ=1) | 224 | | C2.20(C7xC8.C2^2) | 448,897 |
| C2.21(C7×C8.C22) = C7×C42.30C22 | central stem extension (φ=1) | 448 | | C2.21(C7xC8.C2^2) | 448,899 |
| C2.22(C7×C8.C22) = C7×C8.2D4 | central stem extension (φ=1) | 224 | | C2.22(C7xC8.C2^2) | 448,905 |
| C2.23(C7×C8.C22) = C7×C8⋊Q8 | central stem extension (φ=1) | 448 | | C2.23(C7xC8.C2^2) | 448,909 |