| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C3×C24 | 144 | S3xC3xC24 | 432,464 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C8⋊1(S3×C32) = C32×D24 | φ: S3×C32/C33 → C2 ⊆ Aut C8 | 144 | C8:1(S3xC3^2) | 432,467 | |
| C8⋊2(S3×C32) = C32×C24⋊C2 | φ: S3×C32/C33 → C2 ⊆ Aut C8 | 144 | C8:2(S3xC3^2) | 432,466 | |
| C8⋊3(S3×C32) = C32×C8⋊S3 | φ: S3×C32/C33 → C2 ⊆ Aut C8 | 144 | C8:3(S3xC3^2) | 432,465 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C8.(S3×C32) = C32×Dic12 | φ: S3×C32/C33 → C2 ⊆ Aut C8 | 144 | C8.(S3xC3^2) | 432,468 | |
| C8.2(S3×C32) = C32×C3⋊C16 | central extension (φ=1) | 144 | C8.2(S3xC3^2) | 432,229 |