| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C12×C3⋊Dic3 | 144 | C12xC3:Dic3 | 432,487 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C4⋊(C3×C3⋊Dic3) = C3×C12⋊Dic3 | φ: C3×C3⋊Dic3/C32×C6 → C2 ⊆ Aut C4 | 144 | C4:(C3xC3:Dic3) | 432,489 | 
| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|---|---|---|---|---|
| C4.(C3×C3⋊Dic3) = C3×C12.58D6 | φ: C3×C3⋊Dic3/C32×C6 → C2 ⊆ Aut C4 | 72 | C4.(C3xC3:Dic3) | 432,486 | |
| C4.2(C3×C3⋊Dic3) = C3×C24.S3 | central extension (φ=1) | 144 | C4.2(C3xC3:Dic3) | 432,230 | |
| C4.3(C3×C3⋊Dic3) = C6×C32⋊4C8 | central extension (φ=1) | 144 | C4.3(C3xC3:Dic3) | 432,485 |