| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×Q8×C3⋊S3 | 144 | C3xQ8xC3:S3 | 432,716 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| Q8⋊(C3×C3⋊S3) = C3×C6.6S4 | φ: C3×C3⋊S3/C32 → S3 ⊆ Out Q8 | 48 | 4 | Q8:(C3xC3:S3) | 432,617 |
| Q8⋊2(C3×C3⋊S3) = C3⋊S3×SL2(𝔽3) | φ: C3×C3⋊S3/C3⋊S3 → C3 ⊆ Out Q8 | 72 | Q8:2(C3xC3:S3) | 432,626 | |
| Q8⋊3(C3×C3⋊S3) = C3×C32⋊11SD16 | φ: C3×C3⋊S3/C33 → C2 ⊆ Out Q8 | 144 | Q8:3(C3xC3:S3) | 432,493 | |
| Q8⋊4(C3×C3⋊S3) = C3×C12.26D6 | φ: trivial image | 144 | Q8:4(C3xC3:S3) | 432,717 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| Q8.(C3×C3⋊S3) = C3×C6.5S4 | φ: C3×C3⋊S3/C32 → S3 ⊆ Out Q8 | 48 | 4 | Q8.(C3xC3:S3) | 432,616 |
| Q8.2(C3×C3⋊S3) = C3⋊Dic3.2A4 | φ: C3×C3⋊S3/C3⋊S3 → C3 ⊆ Out Q8 | 144 | Q8.2(C3xC3:S3) | 432,625 | |
| Q8.3(C3×C3⋊S3) = C3×C32⋊7Q16 | φ: C3×C3⋊S3/C33 → C2 ⊆ Out Q8 | 144 | Q8.3(C3xC3:S3) | 432,494 |