| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C4○D4) = C4×D8 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.1(C4oD4) | 64,118 |
| C4.2(C4○D4) = C4×SD16 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.2(C4oD4) | 64,119 |
| C4.3(C4○D4) = C4×Q16 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.3(C4oD4) | 64,120 |
| C4.4(C4○D4) = SD16⋊C4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.4(C4oD4) | 64,121 |
| C4.5(C4○D4) = Q16⋊C4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.5(C4oD4) | 64,122 |
| C4.6(C4○D4) = D8⋊C4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.6(C4oD4) | 64,123 |
| C4.7(C4○D4) = C8⋊8D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.7(C4oD4) | 64,146 |
| C4.8(C4○D4) = C8⋊7D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.8(C4oD4) | 64,147 |
| C4.9(C4○D4) = C8.18D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.9(C4oD4) | 64,148 |
| C4.10(C4○D4) = C8⋊D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.10(C4oD4) | 64,149 |
| C4.11(C4○D4) = C8⋊2D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.11(C4oD4) | 64,150 |
| C4.12(C4○D4) = C8.D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.12(C4oD4) | 64,151 |
| C4.13(C4○D4) = C4.4D8 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.13(C4oD4) | 64,167 |
| C4.14(C4○D4) = C4.SD16 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.14(C4oD4) | 64,168 |
| C4.15(C4○D4) = C42.78C22 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.15(C4oD4) | 64,169 |
| C4.16(C4○D4) = C42.28C22 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.16(C4oD4) | 64,170 |
| C4.17(C4○D4) = C42.29C22 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.17(C4oD4) | 64,171 |
| C4.18(C4○D4) = C42.30C22 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 64 | | C4.18(C4oD4) | 64,172 |
| C4.19(C4○D4) = C23.37C23 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.19(C4oD4) | 64,214 |
| C4.20(C4○D4) = C22.34C24 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.20(C4oD4) | 64,221 |
| C4.21(C4○D4) = C22.35C24 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.21(C4oD4) | 64,222 |
| C4.22(C4○D4) = C22.36C24 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C4 | 32 | | C4.22(C4oD4) | 64,223 |
| C4.23(C4○D4) = D4⋊Q8 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.23(C4oD4) | 64,155 |
| C4.24(C4○D4) = Q8⋊Q8 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 64 | | C4.24(C4oD4) | 64,156 |
| C4.25(C4○D4) = D4⋊2Q8 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.25(C4oD4) | 64,157 |
| C4.26(C4○D4) = C4.Q16 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 64 | | C4.26(C4oD4) | 64,158 |
| C4.27(C4○D4) = D4.Q8 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.27(C4oD4) | 64,159 |
| C4.28(C4○D4) = Q8.Q8 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 64 | | C4.28(C4oD4) | 64,160 |
| C4.29(C4○D4) = C22.D8 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.29(C4oD4) | 64,161 |
| C4.30(C4○D4) = C23.46D4 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.30(C4oD4) | 64,162 |
| C4.31(C4○D4) = C23.19D4 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.31(C4oD4) | 64,163 |
| C4.32(C4○D4) = C23.47D4 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.32(C4oD4) | 64,164 |
| C4.33(C4○D4) = C23.48D4 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.33(C4oD4) | 64,165 |
| C4.34(C4○D4) = C23.20D4 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.34(C4oD4) | 64,166 |
| C4.35(C4○D4) = C22.46C24 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.35(C4oD4) | 64,233 |
| C4.36(C4○D4) = C22.47C24 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.36(C4oD4) | 64,234 |
| C4.37(C4○D4) = D4⋊3Q8 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.37(C4oD4) | 64,235 |
| C4.38(C4○D4) = C22.49C24 | φ: C4○D4/D4 → C2 ⊆ Aut C4 | 32 | | C4.38(C4oD4) | 64,236 |
| C4.39(C4○D4) = C4⋊D8 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 32 | | C4.39(C4oD4) | 64,140 |
| C4.40(C4○D4) = C4⋊SD16 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 32 | | C4.40(C4oD4) | 64,141 |
| C4.41(C4○D4) = D4.D4 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 32 | | C4.41(C4oD4) | 64,142 |
| C4.42(C4○D4) = C4⋊2Q16 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 64 | | C4.42(C4oD4) | 64,143 |
| C4.43(C4○D4) = D4.2D4 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 32 | | C4.43(C4oD4) | 64,144 |
| C4.44(C4○D4) = Q8.D4 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 32 | | C4.44(C4oD4) | 64,145 |
| C4.45(C4○D4) = C22.50C24 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 32 | | C4.45(C4oD4) | 64,237 |
| C4.46(C4○D4) = Q8⋊3Q8 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 64 | | C4.46(C4oD4) | 64,238 |
| C4.47(C4○D4) = C22.53C24 | φ: C4○D4/Q8 → C2 ⊆ Aut C4 | 32 | | C4.47(C4oD4) | 64,240 |
| C4.48(C4○D4) = C42.12C4 | central extension (φ=1) | 32 | | C4.48(C4oD4) | 64,112 |
| C4.49(C4○D4) = C42.6C4 | central extension (φ=1) | 32 | | C4.49(C4oD4) | 64,113 |
| C4.50(C4○D4) = C42.7C22 | central extension (φ=1) | 32 | | C4.50(C4oD4) | 64,114 |
| C4.51(C4○D4) = C8×D4 | central extension (φ=1) | 32 | | C4.51(C4oD4) | 64,115 |
| C4.52(C4○D4) = C8⋊9D4 | central extension (φ=1) | 32 | | C4.52(C4oD4) | 64,116 |
| C4.53(C4○D4) = C8⋊6D4 | central extension (φ=1) | 32 | | C4.53(C4oD4) | 64,117 |
| C4.54(C4○D4) = C8×Q8 | central extension (φ=1) | 64 | | C4.54(C4oD4) | 64,126 |
| C4.55(C4○D4) = C8⋊4Q8 | central extension (φ=1) | 64 | | C4.55(C4oD4) | 64,127 |
| C4.56(C4○D4) = C23.36C23 | central extension (φ=1) | 32 | | C4.56(C4oD4) | 64,210 |