| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| A4×C3×C6 | 54 | A4xC3xC6 | 216,173 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32⋊(C2×A4) = C62⋊C6 | φ: C2×A4/C22 → C6 ⊆ Aut C32 | 18 | 6+ | C3^2:(C2xA4) | 216,99 |
| C32⋊2(C2×A4) = C2×C32⋊A4 | φ: C2×A4/C23 → C3 ⊆ Aut C32 | 18 | 3 | C3^2:2(C2xA4) | 216,107 |
| C32⋊3(C2×A4) = C3×S3×A4 | φ: C2×A4/A4 → C2 ⊆ Aut C32 | 24 | 6 | C3^2:3(C2xA4) | 216,166 |
| C32⋊4(C2×A4) = A4×C3⋊S3 | φ: C2×A4/A4 → C2 ⊆ Aut C32 | 36 | C3^2:4(C2xA4) | 216,167 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C32.(C2×A4) = C2×C32.A4 | φ: C2×A4/C23 → C3 ⊆ Aut C32 | 18 | 3 | C3^2.(C2xA4) | 216,106 |
| C32.2(C2×A4) = S3×C3.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C32 | 36 | 6 | C3^2.2(C2xA4) | 216,98 |
| C32.3(C2×A4) = C6×C3.A4 | central extension (φ=1) | 54 | C3^2.3(C2xA4) | 216,105 |