| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×S3×C7⋊C3 | 42 | 6 | C3xS3xC7:C3 | 378,48 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊(S3×C7⋊C3) = C3⋊S3×C7⋊C3 | φ: S3×C7⋊C3/C3×C7⋊C3 → C2 ⊆ Aut C3 | 63 | C3:(S3xC7:C3) | 378,50 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C7⋊C3) = C63⋊C6 | φ: S3×C7⋊C3/C3×C7⋊C3 → C2 ⊆ Aut C3 | 63 | 6 | C3.1(S3xC7:C3) | 378,13 |
| C3.2(S3×C7⋊C3) = C63⋊6C6 | φ: S3×C7⋊C3/C3×C7⋊C3 → C2 ⊆ Aut C3 | 63 | 6 | C3.2(S3xC7:C3) | 378,14 |
| C3.3(S3×C7⋊C3) = D9×C7⋊C3 | φ: S3×C7⋊C3/C3×C7⋊C3 → C2 ⊆ Aut C3 | 63 | 6 | C3.3(S3xC7:C3) | 378,15 |
| C3.4(S3×C7⋊C3) = C7⋊He3⋊C2 | φ: S3×C7⋊C3/C3×C7⋊C3 → C2 ⊆ Aut C3 | 63 | 6 | C3.4(S3xC7:C3) | 378,17 |
| C3.5(S3×C7⋊C3) = S3×C7⋊C9 | central extension (φ=1) | 126 | 6 | C3.5(S3xC7:C3) | 378,16 |