| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22⋊C4×C3⋊S3 | 72 | C2^2:C4xC3:S3 | 288,737 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3⋊(C22⋊C4) = C2×S32⋊C4 | φ: C22⋊C4/C22 → C22 ⊆ Out C3⋊S3 | 24 | C3:S3:(C2^2:C4) | 288,880 | |
| C3⋊S3⋊2(C22⋊C4) = C62.91C23 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out C3⋊S3 | 48 | C3:S3:2(C2^2:C4) | 288,569 | |
| C3⋊S3⋊3(C22⋊C4) = C62.116C23 | φ: C22⋊C4/C23 → C2 ⊆ Out C3⋊S3 | 24 | C3:S3:3(C2^2:C4) | 288,622 | |
| C3⋊S3⋊4(C22⋊C4) = C2×C62⋊C4 | φ: C22⋊C4/C23 → C2 ⊆ Out C3⋊S3 | 24 | C3:S3:4(C2^2:C4) | 288,941 |
| extension | φ:Q→Out N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊S3.1(C22⋊C4) = C2.AΓL1(𝔽9) | φ: C22⋊C4/C2 → D4 ⊆ Out C3⋊S3 | 24 | 8+ | C3:S3.1(C2^2:C4) | 288,841 |
| C3⋊S3.2(C22⋊C4) = PSU3(𝔽2)⋊C4 | φ: C22⋊C4/C2 → D4 ⊆ Out C3⋊S3 | 36 | 8 | C3:S3.2(C2^2:C4) | 288,842 |
| C3⋊S3.3(C22⋊C4) = C22⋊F9 | φ: C22⋊C4/C22 → C4 ⊆ Out C3⋊S3 | 24 | 8+ | C3:S3.3(C2^2:C4) | 288,867 |
| C3⋊S3.4(C22⋊C4) = C62.D4 | φ: C22⋊C4/C22 → C22 ⊆ Out C3⋊S3 | 48 | C3:S3.4(C2^2:C4) | 288,385 | |
| C3⋊S3.5(C22⋊C4) = C62.Q8 | φ: C22⋊C4/C22 → C22 ⊆ Out C3⋊S3 | 48 | C3:S3.5(C2^2:C4) | 288,395 | |
| C3⋊S3.6(C22⋊C4) = (C6×C12)⋊2C4 | φ: C22⋊C4/C2×C4 → C2 ⊆ Out C3⋊S3 | 48 | C3:S3.6(C2^2:C4) | 288,429 |