| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C32×C6 | 108 | S3xC3^2xC6 | 324,172 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C3×C6) = S32×C32 | φ: S3×C3×C6/S3×C32 → C2 ⊆ Aut C3 | 36 | C3:1(S3xC3xC6) | 324,165 | |
| C3⋊2(S3×C3×C6) = C3⋊S3×C3×C6 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C3 | 36 | C3:2(S3xC3xC6) | 324,173 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C3×C6) = D9×C3×C6 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C3 | 108 | C3.1(S3xC3xC6) | 324,136 | |
| C3.2(S3×C3×C6) = C6×C32⋊C6 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C3 | 36 | 6 | C3.2(S3xC3xC6) | 324,138 |
| C3.3(S3×C3×C6) = C6×C9⋊C6 | φ: S3×C3×C6/C32×C6 → C2 ⊆ Aut C3 | 36 | 6 | C3.3(S3xC3xC6) | 324,140 |
| C3.4(S3×C3×C6) = S3×C3×C18 | central extension (φ=1) | 108 | C3.4(S3xC3xC6) | 324,137 | |
| C3.5(S3×C3×C6) = C2×S3×He3 | central stem extension (φ=1) | 36 | 6 | C3.5(S3xC3xC6) | 324,139 |
| C3.6(S3×C3×C6) = C2×S3×3- 1+2 | central stem extension (φ=1) | 36 | 6 | C3.6(S3xC3xC6) | 324,141 |