| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C5×S3×Dic3 | 120 | 4 | C5xS3xDic3 | 360,72 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C5⋊(S3×Dic3) = S3×C3⋊F5 | φ: S3×Dic3/C3×S3 → C4 ⊆ Aut C5 | 30 | 8 | C5:(S3xDic3) | 360,128 |
| C5⋊2(S3×Dic3) = Dic3×D15 | φ: S3×Dic3/C3×Dic3 → C2 ⊆ Aut C5 | 120 | 4- | C5:2(S3xDic3) | 360,77 |
| C5⋊3(S3×Dic3) = D30.S3 | φ: S3×Dic3/C3⋊Dic3 → C2 ⊆ Aut C5 | 120 | 4 | C5:3(S3xDic3) | 360,84 |
| C5⋊4(S3×Dic3) = S3×Dic15 | φ: S3×Dic3/S3×C6 → C2 ⊆ Aut C5 | 120 | 4- | C5:4(S3xDic3) | 360,78 |