| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C4⋊C4) = C4.9C42 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 4 | C4.1(C4:C4) | 64,18 |
| C4.2(C4⋊C4) = C42⋊6C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 16 | | C4.2(C4:C4) | 64,20 |
| C4.3(C4⋊C4) = C22.4Q16 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.3(C4:C4) | 64,21 |
| C4.4(C4⋊C4) = C22.C42 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.4(C4:C4) | 64,24 |
| C4.5(C4⋊C4) = M4(2)⋊4C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 4 | C4.5(C4:C4) | 64,25 |
| C4.6(C4⋊C4) = C8.Q8 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 4 | C4.6(C4:C4) | 64,46 |
| C4.7(C4⋊C4) = C16⋊3C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.7(C4:C4) | 64,47 |
| C4.8(C4⋊C4) = C16⋊4C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.8(C4:C4) | 64,48 |
| C4.9(C4⋊C4) = C8.4Q8 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 32 | 2 | C4.9(C4:C4) | 64,49 |
| C4.10(C4⋊C4) = C42⋊8C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.10(C4:C4) | 64,63 |
| C4.11(C4⋊C4) = C4⋊M4(2) | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.11(C4:C4) | 64,104 |
| C4.12(C4⋊C4) = C42.6C22 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.12(C4:C4) | 64,105 |
| C4.13(C4⋊C4) = C2×C4.Q8 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.13(C4:C4) | 64,106 |
| C4.14(C4⋊C4) = C2×C2.D8 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.14(C4:C4) | 64,107 |
| C4.15(C4⋊C4) = M4(2)⋊C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.15(C4:C4) | 64,109 |
| C4.16(C4⋊C4) = C2×C8.C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.16(C4:C4) | 64,110 |
| C4.17(C4⋊C4) = M4(2).C4 | φ: C4⋊C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 4 | C4.17(C4:C4) | 64,111 |
| C4.18(C4⋊C4) = C22.7C42 | central extension (φ=1) | 64 | | C4.18(C4:C4) | 64,17 |
| C4.19(C4⋊C4) = C4⋊C16 | central extension (φ=1) | 64 | | C4.19(C4:C4) | 64,44 |
| C4.20(C4⋊C4) = C8.C8 | central extension (φ=1) | 16 | 2 | C4.20(C4:C4) | 64,45 |
| C4.21(C4⋊C4) = C2×C4⋊C8 | central extension (φ=1) | 64 | | C4.21(C4:C4) | 64,103 |
| C4.22(C4⋊C4) = C23.25D4 | central extension (φ=1) | 32 | | C4.22(C4:C4) | 64,108 |