| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C66 | 132 | 2 | S3xC66 | 396,26 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C6⋊(S3×C11) = C3⋊S3×C22 | φ: S3×C11/C33 → C2 ⊆ Aut C6 | 198 | C6:(S3xC11) | 396,28 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C6.1(S3×C11) = C11×Dic9 | φ: S3×C11/C33 → C2 ⊆ Aut C6 | 396 | 2 | C6.1(S3xC11) | 396,1 |
| C6.2(S3×C11) = D9×C22 | φ: S3×C11/C33 → C2 ⊆ Aut C6 | 198 | 2 | C6.2(S3xC11) | 396,8 |
| C6.3(S3×C11) = C11×C3⋊Dic3 | φ: S3×C11/C33 → C2 ⊆ Aut C6 | 396 | C6.3(S3xC11) | 396,14 | |
| C6.4(S3×C11) = Dic3×C33 | central extension (φ=1) | 132 | 2 | C6.4(S3xC11) | 396,12 |