| extension | φ:Q→Aut N | d | ρ | Label | ID | 
| C6.1(C4○D4) = C4×Dic6 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 96 |  | C6.1(C4oD4) | 96,75 | 
| C6.2(C4○D4) = C12.6Q8 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 96 |  | C6.2(C4oD4) | 96,77 | 
| C6.3(C4○D4) = C42⋊2S3 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.3(C4oD4) | 96,79 | 
| C6.4(C4○D4) = C4×D12 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.4(C4oD4) | 96,80 | 
| C6.5(C4○D4) = C42⋊7S3 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.5(C4oD4) | 96,82 | 
| C6.6(C4○D4) = C42⋊3S3 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.6(C4oD4) | 96,83 | 
| C6.7(C4○D4) = C23.8D6 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.7(C4oD4) | 96,86 | 
| C6.8(C4○D4) = C23.9D6 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.8(C4oD4) | 96,90 | 
| C6.9(C4○D4) = Dic3⋊D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.9(C4oD4) | 96,91 | 
| C6.10(C4○D4) = C23.11D6 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.10(C4oD4) | 96,92 | 
| C6.11(C4○D4) = Dic3.Q8 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 96 |  | C6.11(C4oD4) | 96,96 | 
| C6.12(C4○D4) = D6.D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.12(C4oD4) | 96,101 | 
| C6.13(C4○D4) = D6⋊Q8 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.13(C4oD4) | 96,103 | 
| C6.14(C4○D4) = C4⋊C4⋊S3 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.14(C4oD4) | 96,105 | 
| C6.15(C4○D4) = C12.48D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.15(C4oD4) | 96,131 | 
| C6.16(C4○D4) = C23.26D6 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.16(C4oD4) | 96,133 | 
| C6.17(C4○D4) = C4×C3⋊D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.17(C4oD4) | 96,135 | 
| C6.18(C4○D4) = C23.28D6 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.18(C4oD4) | 96,136 | 
| C6.19(C4○D4) = C12⋊7D4 | φ: C4○D4/C2×C4 → C2 ⊆ Aut C6 | 48 |  | C6.19(C4oD4) | 96,137 | 
| C6.20(C4○D4) = C23.16D6 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.20(C4oD4) | 96,84 | 
| C6.21(C4○D4) = Dic3.D4 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.21(C4oD4) | 96,85 | 
| C6.22(C4○D4) = Dic3⋊4D4 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.22(C4oD4) | 96,88 | 
| C6.23(C4○D4) = C23.21D6 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.23(C4oD4) | 96,93 | 
| C6.24(C4○D4) = Dic6⋊C4 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 96 |  | C6.24(C4oD4) | 96,94 | 
| C6.25(C4○D4) = C4.Dic6 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 96 |  | C6.25(C4oD4) | 96,97 | 
| C6.26(C4○D4) = C4⋊C4⋊7S3 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.26(C4oD4) | 96,99 | 
| C6.27(C4○D4) = C4.D12 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.27(C4oD4) | 96,104 | 
| C6.28(C4○D4) = D4×Dic3 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.28(C4oD4) | 96,141 | 
| C6.29(C4○D4) = C23.23D6 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.29(C4oD4) | 96,142 | 
| C6.30(C4○D4) = C23.12D6 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.30(C4oD4) | 96,143 | 
| C6.31(C4○D4) = D6⋊3D4 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.31(C4oD4) | 96,145 | 
| C6.32(C4○D4) = C23.14D6 | φ: C4○D4/D4 → C2 ⊆ Aut C6 | 48 |  | C6.32(C4oD4) | 96,146 | 
| C6.33(C4○D4) = Dic3⋊5D4 | φ: C4○D4/Q8 → C2 ⊆ Aut C6 | 48 |  | C6.33(C4oD4) | 96,100 | 
| C6.34(C4○D4) = C12⋊D4 | φ: C4○D4/Q8 → C2 ⊆ Aut C6 | 48 |  | C6.34(C4oD4) | 96,102 | 
| C6.35(C4○D4) = Q8×Dic3 | φ: C4○D4/Q8 → C2 ⊆ Aut C6 | 96 |  | C6.35(C4oD4) | 96,152 | 
| C6.36(C4○D4) = D6⋊3Q8 | φ: C4○D4/Q8 → C2 ⊆ Aut C6 | 48 |  | C6.36(C4oD4) | 96,153 | 
| C6.37(C4○D4) = C12.23D4 | φ: C4○D4/Q8 → C2 ⊆ Aut C6 | 48 |  | C6.37(C4oD4) | 96,154 | 
| C6.38(C4○D4) = C3×C42⋊C2 | central extension (φ=1) | 48 |  | C6.38(C4oD4) | 96,164 | 
| C6.39(C4○D4) = D4×C12 | central extension (φ=1) | 48 |  | C6.39(C4oD4) | 96,165 | 
| C6.40(C4○D4) = Q8×C12 | central extension (φ=1) | 96 |  | C6.40(C4oD4) | 96,166 | 
| C6.41(C4○D4) = C3×C4⋊D4 | central extension (φ=1) | 48 |  | C6.41(C4oD4) | 96,168 | 
| C6.42(C4○D4) = C3×C22⋊Q8 | central extension (φ=1) | 48 |  | C6.42(C4oD4) | 96,169 | 
| C6.43(C4○D4) = C3×C22.D4 | central extension (φ=1) | 48 |  | C6.43(C4oD4) | 96,170 | 
| C6.44(C4○D4) = C3×C4.4D4 | central extension (φ=1) | 48 |  | C6.44(C4oD4) | 96,171 | 
| C6.45(C4○D4) = C3×C42.C2 | central extension (φ=1) | 96 |  | C6.45(C4oD4) | 96,172 | 
| C6.46(C4○D4) = C3×C42⋊2C2 | central extension (φ=1) | 48 |  | C6.46(C4oD4) | 96,173 |