| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C62 | 72 | S3xC6^2 | 216,174 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(S3×C3×C6) = S3×C3×C12 | central extension (φ=1) | 72 | C2.1(S3xC3xC6) | 216,136 | |
| C2.2(S3×C3×C6) = Dic3×C3×C6 | central extension (φ=1) | 72 | C2.2(S3xC3xC6) | 216,138 | |
| C2.3(S3×C3×C6) = C32×Dic6 | central stem extension (φ=1) | 72 | C2.3(S3xC3xC6) | 216,135 | |
| C2.4(S3×C3×C6) = C32×D12 | central stem extension (φ=1) | 72 | C2.4(S3xC3xC6) | 216,137 | |
| C2.5(S3×C3×C6) = C32×C3⋊D4 | central stem extension (φ=1) | 36 | C2.5(S3xC3xC6) | 216,139 |