| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×Q8×C32 | 144 | S3xQ8xC3^2 | 432,706 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C3×S3×Q8) = C3×Dic3.D6 | φ: C3×S3×Q8/C3×Dic6 → C2 ⊆ Aut C3 | 48 | 4 | C3:1(C3xS3xQ8) | 432,645 |
| C3⋊2(C3×S3×Q8) = C3×S3×Dic6 | φ: C3×S3×Q8/S3×C12 → C2 ⊆ Aut C3 | 48 | 4 | C3:2(C3xS3xQ8) | 432,642 |
| C3⋊3(C3×S3×Q8) = C3×Q8×C3⋊S3 | φ: C3×S3×Q8/Q8×C32 → C2 ⊆ Aut C3 | 144 | C3:3(C3xS3xQ8) | 432,716 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C3×S3×Q8) = C3×Q8×D9 | φ: C3×S3×Q8/Q8×C32 → C2 ⊆ Aut C3 | 144 | 4 | C3.1(C3xS3xQ8) | 432,364 |
| C3.2(C3×S3×Q8) = Q8×C32⋊C6 | φ: C3×S3×Q8/Q8×C32 → C2 ⊆ Aut C3 | 72 | 12- | C3.2(C3xS3xQ8) | 432,368 |
| C3.3(C3×S3×Q8) = Q8×C9⋊C6 | φ: C3×S3×Q8/Q8×C32 → C2 ⊆ Aut C3 | 72 | 12- | C3.3(C3xS3xQ8) | 432,370 |
| C3.4(C3×S3×Q8) = S3×Q8×C9 | central extension (φ=1) | 144 | 4 | C3.4(C3xS3xQ8) | 432,366 |