| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C32×C8⋊S3 | 144 | C3^2xC8:S3 | 432,465 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C3×C8⋊S3) = C3×C12.31D6 | φ: C3×C8⋊S3/C3×C3⋊C8 → C2 ⊆ Aut C3 | 48 | 4 | C3:1(C3xC8:S3) | 432,417 |
| C3⋊2(C3×C8⋊S3) = C3×C24⋊S3 | φ: C3×C8⋊S3/C3×C24 → C2 ⊆ Aut C3 | 144 | C3:2(C3xC8:S3) | 432,481 | |
| C3⋊3(C3×C8⋊S3) = C3×D6.Dic3 | φ: C3×C8⋊S3/S3×C12 → C2 ⊆ Aut C3 | 48 | 4 | C3:3(C3xC8:S3) | 432,416 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C3×C8⋊S3) = C3×C8⋊D9 | φ: C3×C8⋊S3/C3×C24 → C2 ⊆ Aut C3 | 144 | 2 | C3.1(C3xC8:S3) | 432,106 |
| C3.2(C3×C8⋊S3) = He3⋊5M4(2) | φ: C3×C8⋊S3/C3×C24 → C2 ⊆ Aut C3 | 72 | 6 | C3.2(C3xC8:S3) | 432,116 |
| C3.3(C3×C8⋊S3) = C72⋊C6 | φ: C3×C8⋊S3/C3×C24 → C2 ⊆ Aut C3 | 72 | 6 | C3.3(C3xC8:S3) | 432,121 |
| C3.4(C3×C8⋊S3) = C9×C8⋊S3 | central extension (φ=1) | 144 | 2 | C3.4(C3xC8:S3) | 432,110 |