| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C2×C28 | 168 | S3xC2xC28 | 336,185 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(S3×C28) = S3×C56 | central extension (φ=1) | 168 | 2 | C2.1(S3xC28) | 336,74 |
| C2.2(S3×C28) = Dic3×C28 | central extension (φ=1) | 336 | C2.2(S3xC28) | 336,81 | |
| C2.3(S3×C28) = C7×C8⋊S3 | central stem extension (φ=1) | 168 | 2 | C2.3(S3xC28) | 336,75 |
| C2.4(S3×C28) = C7×Dic3⋊C4 | central stem extension (φ=1) | 336 | C2.4(S3xC28) | 336,82 | |
| C2.5(S3×C28) = C7×D6⋊C4 | central stem extension (φ=1) | 168 | C2.5(S3xC28) | 336,84 |