| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C22×C4) = C4×Dic6 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 96 | | C6.1(C2^2xC4) | 96,75 |
| C6.2(C22×C4) = S3×C42 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.2(C2^2xC4) | 96,78 |
| C6.3(C22×C4) = C42⋊2S3 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.3(C2^2xC4) | 96,79 |
| C6.4(C22×C4) = C4×D12 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.4(C2^2xC4) | 96,80 |
| C6.5(C22×C4) = C23.16D6 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.5(C2^2xC4) | 96,84 |
| C6.6(C22×C4) = S3×C22⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 24 | | C6.6(C2^2xC4) | 96,87 |
| C6.7(C22×C4) = Dic3⋊4D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.7(C2^2xC4) | 96,88 |
| C6.8(C22×C4) = Dic6⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 96 | | C6.8(C2^2xC4) | 96,94 |
| C6.9(C22×C4) = S3×C4⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.9(C2^2xC4) | 96,98 |
| C6.10(C22×C4) = C4⋊C4⋊7S3 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.10(C2^2xC4) | 96,99 |
| C6.11(C22×C4) = Dic3⋊5D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.11(C2^2xC4) | 96,100 |
| C6.12(C22×C4) = S3×C2×C8 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.12(C2^2xC4) | 96,106 |
| C6.13(C22×C4) = C2×C8⋊S3 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.13(C2^2xC4) | 96,107 |
| C6.14(C22×C4) = C8○D12 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | 2 | C6.14(C2^2xC4) | 96,108 |
| C6.15(C22×C4) = S3×M4(2) | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 24 | 4 | C6.15(C2^2xC4) | 96,113 |
| C6.16(C22×C4) = D12.C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | 4 | C6.16(C2^2xC4) | 96,114 |
| C6.17(C22×C4) = C2×Dic3⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 96 | | C6.17(C2^2xC4) | 96,130 |
| C6.18(C22×C4) = C2×D6⋊C4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.18(C2^2xC4) | 96,134 |
| C6.19(C22×C4) = C4×C3⋊D4 | φ: C22×C4/C2×C4 → C2 ⊆ Aut C6 | 48 | | C6.19(C2^2xC4) | 96,135 |
| C6.20(C22×C4) = C22×C3⋊C8 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 96 | | C6.20(C2^2xC4) | 96,127 |
| C6.21(C22×C4) = C2×C4.Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 48 | | C6.21(C2^2xC4) | 96,128 |
| C6.22(C22×C4) = C2×C4×Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 96 | | C6.22(C2^2xC4) | 96,129 |
| C6.23(C22×C4) = C2×C4⋊Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 96 | | C6.23(C2^2xC4) | 96,132 |
| C6.24(C22×C4) = C23.26D6 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 48 | | C6.24(C2^2xC4) | 96,133 |
| C6.25(C22×C4) = D4×Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 48 | | C6.25(C2^2xC4) | 96,141 |
| C6.26(C22×C4) = Q8×Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 96 | | C6.26(C2^2xC4) | 96,152 |
| C6.27(C22×C4) = D4.Dic3 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 48 | 4 | C6.27(C2^2xC4) | 96,155 |
| C6.28(C22×C4) = C2×C6.D4 | φ: C22×C4/C23 → C2 ⊆ Aut C6 | 48 | | C6.28(C2^2xC4) | 96,159 |
| C6.29(C22×C4) = C6×C22⋊C4 | central extension (φ=1) | 48 | | C6.29(C2^2xC4) | 96,162 |
| C6.30(C22×C4) = C6×C4⋊C4 | central extension (φ=1) | 96 | | C6.30(C2^2xC4) | 96,163 |
| C6.31(C22×C4) = C3×C42⋊C2 | central extension (φ=1) | 48 | | C6.31(C2^2xC4) | 96,164 |
| C6.32(C22×C4) = D4×C12 | central extension (φ=1) | 48 | | C6.32(C2^2xC4) | 96,165 |
| C6.33(C22×C4) = Q8×C12 | central extension (φ=1) | 96 | | C6.33(C2^2xC4) | 96,166 |
| C6.34(C22×C4) = C6×M4(2) | central extension (φ=1) | 48 | | C6.34(C2^2xC4) | 96,177 |
| C6.35(C22×C4) = C3×C8○D4 | central extension (φ=1) | 48 | 2 | C6.35(C2^2xC4) | 96,178 |