| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×D4×C3⋊S3 | 72 | C3xD4xC3:S3 | 432,714 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3⋊(C3×D4) = C6×S3≀C2 | φ: C3×D4/C6 → C22 ⊆ Out C3⋊S3 | 24 | 4 | C3:S3:(C3xD4) | 432,754 |
| C3⋊S3⋊2(C3×D4) = D4×C32⋊C6 | φ: C3×D4/D4 → C3 ⊆ Out C3⋊S3 | 36 | 12+ | C3:S3:2(C3xD4) | 432,360 |
| C3⋊S3⋊3(C3×D4) = C3×D6⋊D6 | φ: C3×D4/C12 → C2 ⊆ Out C3⋊S3 | 48 | 4 | C3:S3:3(C3xD4) | 432,650 |
| C3⋊S3⋊4(C3×D4) = C3×Dic3⋊D6 | φ: C3×D4/C2×C6 → C2 ⊆ Out C3⋊S3 | 24 | 4 | C3:S3:4(C3xD4) | 432,659 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3.(C3×D4) = C3×AΓL1(𝔽9) | φ: C3×D4/C3 → D4 ⊆ Out C3⋊S3 | 24 | 8 | C3:S3.(C3xD4) | 432,737 |
| C3⋊S3.2(C3×D4) = C3×S32⋊C4 | φ: C3×D4/C6 → C22 ⊆ Out C3⋊S3 | 24 | 4 | C3:S3.2(C3xD4) | 432,574 |
| C3⋊S3.3(C3×D4) = C3×C2.PSU3(𝔽2) | φ: C3×D4/C6 → C22 ⊆ Out C3⋊S3 | 48 | 8 | C3:S3.3(C3xD4) | 432,591 |
| C3⋊S3.4(C3×D4) = C3×C4⋊(C32⋊C4) | φ: C3×D4/C12 → C2 ⊆ Out C3⋊S3 | 48 | 4 | C3:S3.4(C3xD4) | 432,631 |
| C3⋊S3.5(C3×D4) = C3×C62⋊C4 | φ: C3×D4/C2×C6 → C2 ⊆ Out C3⋊S3 | 24 | 4 | C3:S3.5(C3xD4) | 432,634 |