| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×S3×Dic6 | 48 | 4 | C3xS3xDic6 | 432,642 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×Dic6) = S3×C32⋊2Q8 | φ: S3×Dic6/S3×Dic3 → C2 ⊆ Aut C3 | 48 | 8- | C3:1(S3xDic6) | 432,603 |
| C3⋊2(S3×Dic6) = C33⋊5(C2×Q8) | φ: S3×Dic6/C32⋊2Q8 → C2 ⊆ Aut C3 | 48 | 8- | C3:2(S3xDic6) | 432,604 |
| C3⋊3(S3×Dic6) = C3⋊S3×Dic6 | φ: S3×Dic6/C3×Dic6 → C2 ⊆ Aut C3 | 144 | C3:3(S3xDic6) | 432,663 | |
| C3⋊4(S3×Dic6) = S3×C32⋊4Q8 | φ: S3×Dic6/S3×C12 → C2 ⊆ Aut C3 | 144 | C3:4(S3xDic6) | 432,660 | |
| C3⋊5(S3×Dic6) = C3⋊S3⋊4Dic6 | φ: S3×Dic6/C32⋊4Q8 → C2 ⊆ Aut C3 | 48 | 4 | C3:5(S3xDic6) | 432,687 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×Dic6) = D9×Dic6 | φ: S3×Dic6/C3×Dic6 → C2 ⊆ Aut C3 | 144 | 4- | C3.1(S3xDic6) | 432,280 |
| C3.2(S3×Dic6) = S3×Dic18 | φ: S3×Dic6/S3×C12 → C2 ⊆ Aut C3 | 144 | 4- | C3.2(S3xDic6) | 432,284 |
| C3.3(S3×Dic6) = C3⋊S3⋊Dic6 | φ: S3×Dic6/C32⋊4Q8 → C2 ⊆ Aut C3 | 72 | 12- | C3.3(S3xDic6) | 432,294 |