| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×C24⋊S3 | 144 | C3xC24:S3 | 432,481 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C24⋊S3) = C33⋊9M4(2) | φ: C24⋊S3/C32⋊4C8 → C2 ⊆ Aut C3 | 72 | C3:1(C24:S3) | 432,435 | |
| C3⋊2(C24⋊S3) = C33⋊15M4(2) | φ: C24⋊S3/C3×C24 → C2 ⊆ Aut C3 | 216 | C3:2(C24:S3) | 432,497 | |
| C3⋊3(C24⋊S3) = C33⋊8M4(2) | φ: C24⋊S3/C4×C3⋊S3 → C2 ⊆ Aut C3 | 144 | C3:3(C24:S3) | 432,434 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.(C24⋊S3) = C72⋊S3 | φ: C24⋊S3/C3×C24 → C2 ⊆ Aut C3 | 216 | C3.(C24:S3) | 432,170 | |
| C3.2(C24⋊S3) = He3⋊6M4(2) | central stem extension (φ=1) | 72 | 6 | C3.2(C24:S3) | 432,174 |