| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C42⋊S3 | 12 | 3 | C2xC4^2:S3 | 192,944 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C42⋊S3) = C23.9S4 | central extension (φ=1) | 12 | 3 | C2.1(C4^2:S3) | 192,182 |
| C2.2(C42⋊S3) = C23.7S4 | central stem extension (φ=1) | 24 | 6 | C2.2(C4^2:S3) | 192,180 |
| C2.3(C42⋊S3) = C23.8S4 | central stem extension (φ=1) | 24 | 6+ | C2.3(C4^2:S3) | 192,181 |