| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C12×A4 | 36 | 3 | C12xA4 | 144,155 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C12.1A4 = C4×C3.A4 | central extension (φ=1) | 36 | 3 | C12.1A4 | 144,34 |
| C12.2A4 = Q8.C18 | central extension (φ=1) | 72 | 2 | C12.2A4 | 144,36 |
| C12.3A4 = C3×C4.A4 | central extension (φ=1) | 48 | 2 | C12.3A4 | 144,157 |