| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C6×C3⋊S3 | 72 | C2xC6xC3:S3 | 216,175 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3⋊(C2×C6) = C22×C32⋊C6 | φ: C2×C6/C22 → C3 ⊆ Out C3⋊S3 | 36 | C3:S3:(C2xC6) | 216,110 | |
| C3⋊S3⋊2(C2×C6) = S32×C6 | φ: C2×C6/C6 → C2 ⊆ Out C3⋊S3 | 24 | 4 | C3:S3:2(C2xC6) | 216,170 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3.1(C2×C6) = C3×S3≀C2 | φ: C2×C6/C3 → C22 ⊆ Out C3⋊S3 | 12 | 4 | C3:S3.1(C2xC6) | 216,157 |
| C3⋊S3.2(C2×C6) = C3×PSU3(𝔽2) | φ: C2×C6/C3 → C22 ⊆ Out C3⋊S3 | 24 | 8 | C3:S3.2(C2xC6) | 216,160 |
| C3⋊S3.3(C2×C6) = C6×C32⋊C4 | φ: C2×C6/C6 → C2 ⊆ Out C3⋊S3 | 24 | 4 | C3:S3.3(C2xC6) | 216,168 |