| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C3×C18 | 108 | S3xC3xC18 | 324,137 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C9⋊1(S3×C6) = S3×C9⋊C6 | φ: S3×C6/S3 → C6 ⊆ Aut C9 | 18 | 12+ | C9:1(S3xC6) | 324,118 |
| C9⋊2(S3×C6) = C2×C33.S3 | φ: S3×C6/C6 → C6 ⊆ Aut C9 | 54 | C9:2(S3xC6) | 324,146 | |
| C9⋊3(S3×C6) = C2×S3×3- 1+2 | φ: S3×C6/D6 → C3 ⊆ Aut C9 | 36 | 6 | C9:3(S3xC6) | 324,141 |
| C9⋊4(S3×C6) = C3×S3×D9 | φ: S3×C6/C3×S3 → C2 ⊆ Aut C9 | 36 | 4 | C9:4(S3xC6) | 324,114 |
| C9⋊5(S3×C6) = C6×C9⋊S3 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C9 | 108 | C9:5(S3xC6) | 324,142 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C9.(S3×C6) = C2×He3.4S3 | φ: S3×C6/C6 → C6 ⊆ Aut C9 | 54 | 6+ | C9.(S3xC6) | 324,147 |
| C9.2(S3×C6) = C6×D27 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C9 | 108 | 2 | C9.2(S3xC6) | 324,65 |
| C9.3(S3×C6) = C2×C27⋊C6 | φ: S3×C6/C3×C6 → C2 ⊆ Aut C9 | 54 | 6+ | C9.3(S3xC6) | 324,67 |
| C9.4(S3×C6) = S3×C54 | central extension (φ=1) | 108 | 2 | C9.4(S3xC6) | 324,66 |