| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(S3×C2×C14) = S3×C2×C28 | central extension (φ=1) | 168 | | C2.1(S3xC2xC14) | 336,185 |
| C2.2(S3×C2×C14) = Dic3×C2×C14 | central extension (φ=1) | 336 | | C2.2(S3xC2xC14) | 336,192 |
| C2.3(S3×C2×C14) = C14×Dic6 | central stem extension (φ=1) | 336 | | C2.3(S3xC2xC14) | 336,184 |
| C2.4(S3×C2×C14) = C14×D12 | central stem extension (φ=1) | 168 | | C2.4(S3xC2xC14) | 336,186 |
| C2.5(S3×C2×C14) = C7×C4○D12 | central stem extension (φ=1) | 168 | 2 | C2.5(S3xC2xC14) | 336,187 |
| C2.6(S3×C2×C14) = S3×C7×D4 | central stem extension (φ=1) | 84 | 4 | C2.6(S3xC2xC14) | 336,188 |
| C2.7(S3×C2×C14) = C7×D4⋊2S3 | central stem extension (φ=1) | 168 | 4 | C2.7(S3xC2xC14) | 336,189 |
| C2.8(S3×C2×C14) = S3×C7×Q8 | central stem extension (φ=1) | 168 | 4 | C2.8(S3xC2xC14) | 336,190 |
| C2.9(S3×C2×C14) = C7×Q8⋊3S3 | central stem extension (φ=1) | 168 | 4 | C2.9(S3xC2xC14) | 336,191 |
| C2.10(S3×C2×C14) = C14×C3⋊D4 | central stem extension (φ=1) | 168 | | C2.10(S3xC2xC14) | 336,193 |