| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(S3×C2×C6) = S3×C2×C12 | central extension (φ=1) | 48 | | C2.1(S3xC2xC6) | 144,159 |
| C2.2(S3×C2×C6) = Dic3×C2×C6 | central extension (φ=1) | 48 | | C2.2(S3xC2xC6) | 144,166 |
| C2.3(S3×C2×C6) = C6×Dic6 | central stem extension (φ=1) | 48 | | C2.3(S3xC2xC6) | 144,158 |
| C2.4(S3×C2×C6) = C6×D12 | central stem extension (φ=1) | 48 | | C2.4(S3xC2xC6) | 144,160 |
| C2.5(S3×C2×C6) = C3×C4○D12 | central stem extension (φ=1) | 24 | 2 | C2.5(S3xC2xC6) | 144,161 |
| C2.6(S3×C2×C6) = C3×S3×D4 | central stem extension (φ=1) | 24 | 4 | C2.6(S3xC2xC6) | 144,162 |
| C2.7(S3×C2×C6) = C3×D4⋊2S3 | central stem extension (φ=1) | 24 | 4 | C2.7(S3xC2xC6) | 144,163 |
| C2.8(S3×C2×C6) = C3×S3×Q8 | central stem extension (φ=1) | 48 | 4 | C2.8(S3xC2xC6) | 144,164 |
| C2.9(S3×C2×C6) = C3×Q8⋊3S3 | central stem extension (φ=1) | 48 | 4 | C2.9(S3xC2xC6) | 144,165 |
| C2.10(S3×C2×C6) = C6×C3⋊D4 | central stem extension (φ=1) | 24 | | C2.10(S3xC2xC6) | 144,167 |