| extension | φ:Q→Aut N | d | ρ | Label | ID |
| C2.1(D4.2D4) = C42.100D4 | central extension (φ=1) | 64 | | C2.1(D4.2D4) | 128,536 |
| C2.2(D4.2D4) = (C2×SD16)⋊14C4 | central extension (φ=1) | 64 | | C2.2(D4.2D4) | 128,609 |
| C2.3(D4.2D4) = (C2×C4)⋊9D8 | central extension (φ=1) | 64 | | C2.3(D4.2D4) | 128,611 |
| C2.4(D4.2D4) = C4.67(C4×D4) | central extension (φ=1) | 64 | | C2.4(D4.2D4) | 128,658 |
| C2.5(D4.2D4) = C2.(C4×Q16) | central extension (φ=1) | 128 | | C2.5(D4.2D4) | 128,660 |
| C2.6(D4.2D4) = C42.31Q8 | central extension (φ=1) | 128 | | C2.6(D4.2D4) | 128,681 |
| C2.7(D4.2D4) = C42.119D4 | central extension (φ=1) | 64 | | C2.7(D4.2D4) | 128,715 |
| C2.8(D4.2D4) = D4.2SD16 | central stem extension (φ=1) | 64 | | C2.8(D4.2D4) | 128,409 |
| C2.9(D4.2D4) = D4.3SD16 | central stem extension (φ=1) | 64 | | C2.9(D4.2D4) | 128,411 |
| C2.10(D4.2D4) = D4.2D8 | central stem extension (φ=1) | 64 | | C2.10(D4.2D4) | 128,413 |
| C2.11(D4.2D4) = D4.Q16 | central stem extension (φ=1) | 64 | | C2.11(D4.2D4) | 128,415 |
| C2.12(D4.2D4) = C42.248C23 | central stem extension (φ=1) | 64 | | C2.12(D4.2D4) | 128,429 |
| C2.13(D4.2D4) = C42.250C23 | central stem extension (φ=1) | 64 | | C2.13(D4.2D4) | 128,431 |
| C2.14(D4.2D4) = C42.252C23 | central stem extension (φ=1) | 64 | | C2.14(D4.2D4) | 128,433 |
| C2.15(D4.2D4) = C42.254C23 | central stem extension (φ=1) | 64 | | C2.15(D4.2D4) | 128,435 |
| C2.16(D4.2D4) = (C22×D8).C2 | central stem extension (φ=1) | 64 | | C2.16(D4.2D4) | 128,744 |
| C2.17(D4.2D4) = C4⋊C4.94D4 | central stem extension (φ=1) | 64 | | C2.17(D4.2D4) | 128,774 |
| C2.18(D4.2D4) = (C2×C4)⋊3D8 | central stem extension (φ=1) | 64 | | C2.18(D4.2D4) | 128,786 |
| C2.19(D4.2D4) = (C2×C4)⋊5SD16 | central stem extension (φ=1) | 64 | | C2.19(D4.2D4) | 128,787 |
| C2.20(D4.2D4) = C4⋊C4.106D4 | central stem extension (φ=1) | 64 | | C2.20(D4.2D4) | 128,797 |
| C2.21(D4.2D4) = (C2×C8).52D4 | central stem extension (φ=1) | 128 | | C2.21(D4.2D4) | 128,800 |
| C2.22(D4.2D4) = C42⋊8C4⋊C2 | central stem extension (φ=1) | 64 | | C2.22(D4.2D4) | 128,805 |
| C2.23(D4.2D4) = (C2×C8).24Q8 | central stem extension (φ=1) | 128 | | C2.23(D4.2D4) | 128,817 |