| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C22×C4) = C2×D4⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.1(C2^2xC4) | 64,95 |
| C4.2(C22×C4) = C2×Q8⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.2(C2^2xC4) | 64,96 |
| C4.3(C22×C4) = C23.24D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.3(C2^2xC4) | 64,97 |
| C4.4(C22×C4) = C23.36D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.4(C2^2xC4) | 64,98 |
| C4.5(C22×C4) = C23.37D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 16 | | C4.5(C2^2xC4) | 64,99 |
| C4.6(C22×C4) = C23.38D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.6(C2^2xC4) | 64,100 |
| C4.7(C22×C4) = C2×C4≀C2 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 16 | | C4.7(C2^2xC4) | 64,101 |
| C4.8(C22×C4) = C42⋊C22 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 4 | C4.8(C2^2xC4) | 64,102 |
| C4.9(C22×C4) = C4×D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.9(C2^2xC4) | 64,118 |
| C4.10(C22×C4) = C4×SD16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.10(C2^2xC4) | 64,119 |
| C4.11(C22×C4) = C4×Q16 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.11(C2^2xC4) | 64,120 |
| C4.12(C22×C4) = SD16⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.12(C2^2xC4) | 64,121 |
| C4.13(C22×C4) = Q16⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.13(C2^2xC4) | 64,122 |
| C4.14(C22×C4) = D8⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.14(C2^2xC4) | 64,123 |
| C4.15(C22×C4) = C8○D8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 2 | C4.15(C2^2xC4) | 64,124 |
| C4.16(C22×C4) = C8.26D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 4 | C4.16(C2^2xC4) | 64,125 |
| C4.17(C22×C4) = C2×C4×Q8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.17(C2^2xC4) | 64,197 |
| C4.18(C22×C4) = C4×C4○D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.18(C2^2xC4) | 64,198 |
| C4.19(C22×C4) = C22.11C24 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 16 | | C4.19(C2^2xC4) | 64,199 |
| C4.20(C22×C4) = C23.32C23 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.20(C2^2xC4) | 64,200 |
| C4.21(C22×C4) = C23.33C23 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.21(C2^2xC4) | 64,201 |
| C4.22(C22×C4) = C2×C8○D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.22(C2^2xC4) | 64,248 |
| C4.23(C22×C4) = Q8○M4(2) | φ: C22×C4/C2×C4 → C2 ⊆ Aut C4 | 16 | 4 | C4.23(C2^2xC4) | 64,249 |
| C4.24(C22×C4) = C2×C4.Q8 | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 64 | | C4.24(C2^2xC4) | 64,106 |
| C4.25(C22×C4) = C2×C2.D8 | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 64 | | C4.25(C2^2xC4) | 64,107 |
| C4.26(C22×C4) = C23.25D4 | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 32 | | C4.26(C2^2xC4) | 64,108 |
| C4.27(C22×C4) = M4(2)⋊C4 | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 32 | | C4.27(C2^2xC4) | 64,109 |
| C4.28(C22×C4) = C2×C8.C4 | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 32 | | C4.28(C2^2xC4) | 64,110 |
| C4.29(C22×C4) = M4(2).C4 | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 16 | 4 | C4.29(C2^2xC4) | 64,111 |
| C4.30(C22×C4) = C2×C42⋊C2 | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 32 | | C4.30(C2^2xC4) | 64,195 |
| C4.31(C22×C4) = C22×M4(2) | φ: C22×C4/C23 → C2 ⊆ Aut C4 | 32 | | C4.31(C2^2xC4) | 64,247 |
| C4.32(C22×C4) = C2×C8⋊C4 | central extension (φ=1) | 64 | | C4.32(C2^2xC4) | 64,84 |
| C4.33(C22×C4) = C4×M4(2) | central extension (φ=1) | 32 | | C4.33(C2^2xC4) | 64,85 |
| C4.34(C22×C4) = C8○2M4(2) | central extension (φ=1) | 32 | | C4.34(C2^2xC4) | 64,86 |
| C4.35(C22×C4) = C2×M5(2) | central extension (φ=1) | 32 | | C4.35(C2^2xC4) | 64,184 |
| C4.36(C22×C4) = D4○C16 | central extension (φ=1) | 32 | 2 | C4.36(C2^2xC4) | 64,185 |