| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3⋊S3×C22×C6 | 144 | C3:S3xC2^2xC6 | 432,773 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3⋊(C22×C6) = C23×C32⋊C6 | φ: C22×C6/C23 → C3 ⊆ Out C3⋊S3 | 72 | C3:S3:(C2^2xC6) | 432,558 | |
| C3⋊S3⋊2(C22×C6) = S32×C2×C6 | φ: C22×C6/C2×C6 → C2 ⊆ Out C3⋊S3 | 48 | C3:S3:2(C2^2xC6) | 432,767 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3.1(C22×C6) = C6×S3≀C2 | φ: C22×C6/C6 → C22 ⊆ Out C3⋊S3 | 24 | 4 | C3:S3.1(C2^2xC6) | 432,754 |
| C3⋊S3.2(C22×C6) = C6×PSU3(𝔽2) | φ: C22×C6/C6 → C22 ⊆ Out C3⋊S3 | 48 | 8 | C3:S3.2(C2^2xC6) | 432,757 |
| C3⋊S3.3(C22×C6) = C2×C6×C32⋊C4 | φ: C22×C6/C2×C6 → C2 ⊆ Out C3⋊S3 | 48 | C3:S3.3(C2^2xC6) | 432,765 |