| extension | φ:Q→Aut N | d | ρ | Label | ID |
| C2.1(S3×C42) = S3×C4×C8 | central extension (φ=1) | 96 | | C2.1(S3xC4^2) | 192,243 |
| C2.2(S3×C42) = Dic3×C42 | central extension (φ=1) | 192 | | C2.2(S3xC4^2) | 192,489 |
| C2.3(S3×C42) = Dic3.5C42 | central stem extension (φ=1) | 192 | | C2.3(S3xC4^2) | 192,207 |
| C2.4(S3×C42) = Dic3⋊C42 | central stem extension (φ=1) | 192 | | C2.4(S3xC4^2) | 192,208 |
| C2.5(S3×C42) = S3×C2.C42 | central stem extension (φ=1) | 96 | | C2.5(S3xC4^2) | 192,222 |
| C2.6(S3×C42) = D6⋊C42 | central stem extension (φ=1) | 96 | | C2.6(S3xC4^2) | 192,225 |
| C2.7(S3×C42) = C4×C8⋊S3 | central stem extension (φ=1) | 96 | | C2.7(S3xC4^2) | 192,246 |
| C2.8(S3×C42) = D6.C42 | central stem extension (φ=1) | 96 | | C2.8(S3xC4^2) | 192,248 |
| C2.9(S3×C42) = S3×C8⋊C4 | central stem extension (φ=1) | 96 | | C2.9(S3xC4^2) | 192,263 |
| C2.10(S3×C42) = Dic3⋊5M4(2) | central stem extension (φ=1) | 96 | | C2.10(S3xC4^2) | 192,266 |
| C2.11(S3×C42) = D6.4C42 | central stem extension (φ=1) | 96 | | C2.11(S3xC4^2) | 192,267 |
| C2.12(S3×C42) = C4×Dic3⋊C4 | central stem extension (φ=1) | 192 | | C2.12(S3xC4^2) | 192,490 |
| C2.13(S3×C42) = C4×D6⋊C4 | central stem extension (φ=1) | 96 | | C2.13(S3xC4^2) | 192,497 |