| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C32×A4⋊C4 | 108 | C3^2xA4:C4 | 432,615 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32⋊1(A4⋊C4) = C62⋊5Dic3 | φ: A4⋊C4/C23 → S3 ⊆ Aut C32 | 36 | 6- | C3^2:1(A4:C4) | 432,251 |
| C32⋊2(A4⋊C4) = C62⋊6Dic3 | φ: A4⋊C4/C23 → S3 ⊆ Aut C32 | 36 | 3 | C3^2:2(A4:C4) | 432,260 |
| C32⋊3(A4⋊C4) = C62⋊Dic3 | φ: A4⋊C4/A4 → C4 ⊆ Aut C32 | 24 | 12+ | C3^2:3(A4:C4) | 432,743 |
| C32⋊4(A4⋊C4) = C3×C6.7S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C32 | 36 | 6 | C3^2:4(A4:C4) | 432,618 |
| C32⋊5(A4⋊C4) = C62⋊10Dic3 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C32 | 108 | C3^2:5(A4:C4) | 432,621 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32.(A4⋊C4) = C62.Dic3 | φ: A4⋊C4/C23 → S3 ⊆ Aut C32 | 36 | 6- | C3^2.(A4:C4) | 432,249 |
| C32.2(A4⋊C4) = C3×C6.S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C32 | 36 | 6 | C3^2.2(A4:C4) | 432,250 |
| C32.3(A4⋊C4) = C62.10Dic3 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C32 | 108 | C3^2.3(A4:C4) | 432,259 |