| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3⋊S3×C3×C6 | 36 | C3:S3xC3xC6 | 324,173 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C6×C3⋊S3) = C3×S3×C3⋊S3 | φ: C6×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C3 | 36 | C3:1(C6xC3:S3) | 324,166 | |
| C3⋊2(C6×C3⋊S3) = C6×C33⋊C2 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C3 | 108 | C3:2(C6xC3:S3) | 324,174 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C6×C3⋊S3) = C6×C9⋊S3 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C3 | 108 | C3.1(C6xC3:S3) | 324,142 | |
| C3.2(C6×C3⋊S3) = C2×He3⋊4S3 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C3 | 54 | C3.2(C6xC3:S3) | 324,144 | |
| C3.3(C6×C3⋊S3) = C2×C33.S3 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C3 | 54 | C3.3(C6xC3:S3) | 324,146 | |
| C3.4(C6×C3⋊S3) = C2×He3.4S3 | φ: C6×C3⋊S3/C32×C6 → C2 ⊆ Aut C3 | 54 | 6+ | C3.4(C6xC3:S3) | 324,147 |
| C3.5(C6×C3⋊S3) = C18×C3⋊S3 | central extension (φ=1) | 108 | C3.5(C6xC3:S3) | 324,143 | |
| C3.6(C6×C3⋊S3) = C6×He3⋊C2 | central stem extension (φ=1) | 54 | C3.6(C6xC3:S3) | 324,145 | |
| C3.7(C6×C3⋊S3) = C2×He3.4C6 | central stem extension (φ=1) | 54 | 3 | C3.7(C6xC3:S3) | 324,148 |