| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C62 | 72 | S3xC6^2 | 216,174 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(S3×C32) = C32×S4 | φ: S3×C32/C32 → S3 ⊆ Aut C22 | 36 | C2^2:(S3xC3^2) | 216,163 | |
| C22⋊2(S3×C32) = C3×S3×A4 | φ: S3×C32/C3×S3 → C3 ⊆ Aut C22 | 24 | 6 | C2^2:2(S3xC3^2) | 216,166 |
| C22⋊3(S3×C32) = C32×C3⋊D4 | φ: S3×C32/C33 → C2 ⊆ Aut C22 | 36 | C2^2:3(S3xC3^2) | 216,139 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.(S3×C32) = Dic3×C3×C6 | central extension (φ=1) | 72 | C2^2.(S3xC3^2) | 216,138 |