| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|
| D4.1(C22⋊C4) = M4(2).43D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 32 | | D4.1(C2^2:C4) | 128,608 |
| D4.2(C22⋊C4) = (C2×SD16)⋊14C4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 64 | | D4.2(C2^2:C4) | 128,609 |
| D4.3(C22⋊C4) = M4(2).44D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 32 | 4 | D4.3(C2^2:C4) | 128,613 |
| D4.4(C22⋊C4) = C8.C22⋊C4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 32 | | D4.4(C2^2:C4) | 128,614 |
| D4.5(C22⋊C4) = M4(2).46D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 32 | 8- | D4.5(C2^2:C4) | 128,634 |
| D4.6(C22⋊C4) = M4(2).47D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 16 | 8+ | D4.6(C2^2:C4) | 128,635 |
| D4.7(C22⋊C4) = C42.5D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 16 | 8+ | D4.7(C2^2:C4) | 128,636 |
| D4.8(C22⋊C4) = C42.426D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 16 | 4 | D4.8(C2^2:C4) | 128,638 |
| D4.9(C22⋊C4) = M4(2).48D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 32 | | D4.9(C2^2:C4) | 128,639 |
| D4.10(C22⋊C4) = M4(2).49D4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out D4 | 64 | | D4.10(C2^2:C4) | 128,640 |
| D4.11(C22⋊C4) = 2- 1+4⋊2C4 | φ: C22⋊C4/C23 → C2 ⊆ Out D4 | 32 | | D4.11(C2^2:C4) | 128,525 |
| D4.12(C22⋊C4) = 2+ 1+4⋊4C4 | φ: C22⋊C4/C23 → C2 ⊆ Out D4 | 32 | 4 | D4.12(C2^2:C4) | 128,526 |
| D4.13(C22⋊C4) = C4○D4.D4 | φ: C22⋊C4/C23 → C2 ⊆ Out D4 | 16 | 8+ | D4.13(C2^2:C4) | 128,527 |
| D4.14(C22⋊C4) = (C22×Q8)⋊C4 | φ: C22⋊C4/C23 → C2 ⊆ Out D4 | 32 | 8- | D4.14(C2^2:C4) | 128,528 |
| D4.15(C22⋊C4) = D4○(C22⋊C8) | φ: trivial image | 32 | | D4.15(C2^2:C4) | 128,1612 |
| D4.16(C22⋊C4) = C23.C24 | φ: trivial image | 16 | 8+ | D4.16(C2^2:C4) | 128,1615 |
| D4.17(C22⋊C4) = M4(2).24C23 | φ: trivial image | 16 | 8+ | D4.17(C2^2:C4) | 128,1620 |
| D4.18(C22⋊C4) = M4(2).25C23 | φ: trivial image | 32 | 8- | D4.18(C2^2:C4) | 128,1621 |
| D4.19(C22⋊C4) = 2+ 1+4⋊5C4 | φ: trivial image | 32 | | D4.19(C2^2:C4) | 128,1629 |
| D4.20(C22⋊C4) = 2- 1+4⋊4C4 | φ: trivial image | 64 | | D4.20(C2^2:C4) | 128,1630 |
| D4.21(C22⋊C4) = 2- 1+4⋊5C4 | φ: trivial image | 16 | 4 | D4.21(C2^2:C4) | 128,1633 |