| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C3×C24 | 144 | S3xC3xC24 | 432,464 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C24) = C3×C12.29D6 | φ: S3×C24/C3×C3⋊C8 → C2 ⊆ Aut C3 | 48 | 4 | C3:1(S3xC24) | 432,415 |
| C3⋊2(S3×C24) = C3⋊S3×C24 | φ: S3×C24/C3×C24 → C2 ⊆ Aut C3 | 144 | C3:2(S3xC24) | 432,480 | |
| C3⋊3(S3×C24) = C3×S3×C3⋊C8 | φ: S3×C24/S3×C12 → C2 ⊆ Aut C3 | 48 | 4 | C3:3(S3xC24) | 432,414 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C24) = D9×C24 | φ: S3×C24/C3×C24 → C2 ⊆ Aut C3 | 144 | 2 | C3.1(S3xC24) | 432,105 |
| C3.2(S3×C24) = C8×C32⋊C6 | φ: S3×C24/C3×C24 → C2 ⊆ Aut C3 | 72 | 6 | C3.2(S3xC24) | 432,115 |
| C3.3(S3×C24) = C8×C9⋊C6 | φ: S3×C24/C3×C24 → C2 ⊆ Aut C3 | 72 | 6 | C3.3(S3xC24) | 432,120 |
| C3.4(S3×C24) = S3×C72 | central extension (φ=1) | 144 | 2 | C3.4(S3xC24) | 432,109 |