| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C32×C3⋊S3 | 18 | C3^2xC3:S3 | 162,52 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊(C3×C3⋊S3) = C3×C33⋊C2 | φ: C3×C3⋊S3/C33 → C2 ⊆ Aut C3 | 54 | C3:(C3xC3:S3) | 162,53 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C3×C3⋊S3) = C3×C9⋊S3 | φ: C3×C3⋊S3/C33 → C2 ⊆ Aut C3 | 54 | C3.1(C3xC3:S3) | 162,38 | |
| C3.2(C3×C3⋊S3) = He3⋊4S3 | φ: C3×C3⋊S3/C33 → C2 ⊆ Aut C3 | 27 | C3.2(C3xC3:S3) | 162,40 | |
| C3.3(C3×C3⋊S3) = C33.S3 | φ: C3×C3⋊S3/C33 → C2 ⊆ Aut C3 | 27 | C3.3(C3xC3:S3) | 162,42 | |
| C3.4(C3×C3⋊S3) = He3.4S3 | φ: C3×C3⋊S3/C33 → C2 ⊆ Aut C3 | 27 | 6+ | C3.4(C3xC3:S3) | 162,43 |
| C3.5(C3×C3⋊S3) = C9×C3⋊S3 | central extension (φ=1) | 54 | C3.5(C3xC3:S3) | 162,39 | |
| C3.6(C3×C3⋊S3) = C3×He3⋊C2 | central stem extension (φ=1) | 27 | C3.6(C3xC3:S3) | 162,41 | |
| C3.7(C3×C3⋊S3) = He3.4C6 | central stem extension (φ=1) | 27 | 3 | C3.7(C3xC3:S3) | 162,44 |