| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(S3×C10) = C5×S3×Dic3 | φ: S3×C10/C5×S3 → C2 ⊆ Aut C6 | 120 | 4 | C6.1(S3xC10) | 360,72 |
| C6.2(S3×C10) = C5×C6.D6 | φ: S3×C10/C5×S3 → C2 ⊆ Aut C6 | 60 | 4 | C6.2(S3xC10) | 360,73 |
| C6.3(S3×C10) = C5×D6⋊S3 | φ: S3×C10/C5×S3 → C2 ⊆ Aut C6 | 120 | 4 | C6.3(S3xC10) | 360,74 |
| C6.4(S3×C10) = C5×C3⋊D12 | φ: S3×C10/C5×S3 → C2 ⊆ Aut C6 | 60 | 4 | C6.4(S3xC10) | 360,75 |
| C6.5(S3×C10) = C5×C32⋊2Q8 | φ: S3×C10/C5×S3 → C2 ⊆ Aut C6 | 120 | 4 | C6.5(S3xC10) | 360,76 |
| C6.6(S3×C10) = C5×Dic18 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 360 | 2 | C6.6(S3xC10) | 360,20 |
| C6.7(S3×C10) = D9×C20 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 180 | 2 | C6.7(S3xC10) | 360,21 |
| C6.8(S3×C10) = C5×D36 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 180 | 2 | C6.8(S3xC10) | 360,22 |
| C6.9(S3×C10) = C10×Dic9 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 360 | | C6.9(S3xC10) | 360,23 |
| C6.10(S3×C10) = C5×C9⋊D4 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 180 | 2 | C6.10(S3xC10) | 360,24 |
| C6.11(S3×C10) = D9×C2×C10 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 180 | | C6.11(S3xC10) | 360,48 |
| C6.12(S3×C10) = C5×C32⋊4Q8 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 360 | | C6.12(S3xC10) | 360,105 |
| C6.13(S3×C10) = C3⋊S3×C20 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 180 | | C6.13(S3xC10) | 360,106 |
| C6.14(S3×C10) = C5×C12⋊S3 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 180 | | C6.14(S3xC10) | 360,107 |
| C6.15(S3×C10) = C10×C3⋊Dic3 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 360 | | C6.15(S3xC10) | 360,108 |
| C6.16(S3×C10) = C5×C32⋊7D4 | φ: S3×C10/C30 → C2 ⊆ Aut C6 | 180 | | C6.16(S3xC10) | 360,109 |
| C6.17(S3×C10) = C15×Dic6 | central extension (φ=1) | 120 | 2 | C6.17(S3xC10) | 360,95 |
| C6.18(S3×C10) = S3×C60 | central extension (φ=1) | 120 | 2 | C6.18(S3xC10) | 360,96 |
| C6.19(S3×C10) = C15×D12 | central extension (φ=1) | 120 | 2 | C6.19(S3xC10) | 360,97 |
| C6.20(S3×C10) = Dic3×C30 | central extension (φ=1) | 120 | | C6.20(S3xC10) | 360,98 |
| C6.21(S3×C10) = C15×C3⋊D4 | central extension (φ=1) | 60 | 2 | C6.21(S3xC10) | 360,99 |