| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C2×C28 | 168 | S3xC2xC28 | 336,185 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C7⋊1(S3×C2×C4) = C4×S3×D7 | φ: S3×C2×C4/C4×S3 → C2 ⊆ Aut C7 | 84 | 4 | C7:1(S3xC2xC4) | 336,147 |
| C7⋊2(S3×C2×C4) = C2×D21⋊C4 | φ: S3×C2×C4/C2×Dic3 → C2 ⊆ Aut C7 | 168 | C7:2(S3xC2xC4) | 336,156 | |
| C7⋊3(S3×C2×C4) = C2×C4×D21 | φ: S3×C2×C4/C2×C12 → C2 ⊆ Aut C7 | 168 | C7:3(S3xC2xC4) | 336,195 | |
| C7⋊4(S3×C2×C4) = C2×S3×Dic7 | φ: S3×C2×C4/C22×S3 → C2 ⊆ Aut C7 | 168 | C7:4(S3xC2xC4) | 336,154 |