| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C6×C9⋊S3 | 108 | C6xC9:S3 | 324,142 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C3⋊1(C2×C9⋊S3) = S3×C9⋊S3 | φ: C2×C9⋊S3/C9⋊S3 → C2 ⊆ Aut C3 | 54 | C3:1(C2xC9:S3) | 324,120 | |
| C3⋊2(C2×C9⋊S3) = C2×C32⋊4D9 | φ: C2×C9⋊S3/C3×C18 → C2 ⊆ Aut C3 | 162 | C3:2(C2xC9:S3) | 324,149 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C3.1(C2×C9⋊S3) = C2×C9⋊D9 | φ: C2×C9⋊S3/C3×C18 → C2 ⊆ Aut C3 | 162 | C3.1(C2xC9:S3) | 324,74 | |
| C3.2(C2×C9⋊S3) = C2×C27⋊S3 | φ: C2×C9⋊S3/C3×C18 → C2 ⊆ Aut C3 | 162 | C3.2(C2xC9:S3) | 324,76 | |
| C3.3(C2×C9⋊S3) = C2×C32⋊2D9 | central stem extension (φ=1) | 36 | 6 | C3.3(C2xC9:S3) | 324,75 |