| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C6×C12 | 144 | S3xC6xC12 | 432,701 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(S3×C3×C12) = S3×C3×C24 | central extension (φ=1) | 144 | C2.1(S3xC3xC12) | 432,464 | |
| C2.2(S3×C3×C12) = Dic3×C3×C12 | central extension (φ=1) | 144 | C2.2(S3xC3xC12) | 432,471 | |
| C2.3(S3×C3×C12) = C32×C8⋊S3 | central stem extension (φ=1) | 144 | C2.3(S3xC3xC12) | 432,465 | |
| C2.4(S3×C3×C12) = C32×Dic3⋊C4 | central stem extension (φ=1) | 144 | C2.4(S3xC3xC12) | 432,472 | |
| C2.5(S3×C3×C12) = C32×D6⋊C4 | central stem extension (φ=1) | 144 | C2.5(S3xC3xC12) | 432,474 |