| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| A4×C3×C12 | 108 | A4xC3xC12 | 432,697 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32⋊(C4×A4) = C62⋊4C12 | φ: C4×A4/C23 → C6 ⊆ Aut C32 | 36 | 6- | C3^2:(C4xA4) | 432,272 |
| C32⋊2(C4×A4) = A4×C32⋊C4 | φ: C4×A4/A4 → C4 ⊆ Aut C32 | 24 | 12+ | C3^2:2(C4xA4) | 432,744 |
| C32⋊3(C4×A4) = C4×C32⋊A4 | φ: C4×A4/C22×C4 → C3 ⊆ Aut C32 | 36 | 3 | C3^2:3(C4xA4) | 432,333 |
| C32⋊4(C4×A4) = C3×Dic3×A4 | φ: C4×A4/C2×A4 → C2 ⊆ Aut C32 | 36 | 6 | C3^2:4(C4xA4) | 432,624 |
| C32⋊5(C4×A4) = A4×C3⋊Dic3 | φ: C4×A4/C2×A4 → C2 ⊆ Aut C32 | 108 | C3^2:5(C4xA4) | 432,627 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32.(C4×A4) = C4×C32.A4 | φ: C4×A4/C22×C4 → C3 ⊆ Aut C32 | 36 | 3 | C3^2.(C4xA4) | 432,332 |
| C32.2(C4×A4) = Dic3×C3.A4 | φ: C4×A4/C2×A4 → C2 ⊆ Aut C32 | 36 | 6 | C3^2.2(C4xA4) | 432,271 |
| C32.3(C4×A4) = C12×C3.A4 | central extension (φ=1) | 108 | C3^2.3(C4xA4) | 432,331 |