| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×S3×C3⋊S3 | 36 | C3xS3xC3:S3 | 324,166 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(S3×C3⋊S3) = S3×C33⋊C2 | φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C3 | 54 | C3:1(S3xC3:S3) | 324,168 | |
| C3⋊2(S3×C3⋊S3) = C3⋊S32 | φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C3 | 18 | C3:2(S3xC3:S3) | 324,169 | |
| C3⋊3(S3×C3⋊S3) = C33⋊17D6 | φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C3 | 36 | C3:3(S3xC3:S3) | 324,170 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(S3×C3⋊S3) = S3×C9⋊S3 | φ: S3×C3⋊S3/S3×C32 → C2 ⊆ Aut C3 | 54 | C3.1(S3xC3:S3) | 324,120 | |
| C3.2(S3×C3⋊S3) = D9×C3⋊S3 | φ: S3×C3⋊S3/C3×C3⋊S3 → C2 ⊆ Aut C3 | 54 | C3.2(S3xC3:S3) | 324,119 | |
| C3.3(S3×C3⋊S3) = He3⋊5D6 | φ: S3×C3⋊S3/C33⋊C2 → C2 ⊆ Aut C3 | 18 | 12+ | C3.3(S3xC3:S3) | 324,121 |
| C3.4(S3×C3⋊S3) = S3×He3⋊C2 | central stem extension (φ=1) | 18 | 6 | C3.4(S3xC3:S3) | 324,122 |