| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×C6×S4 | 54 | C3xC6xS4 | 432,760 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C6×S4) = C3×S3×S4 | φ: C6×S4/C3×S4 → C2 ⊆ Aut C3 | 24 | 6 | C3:1(C6xS4) | 432,745 |
| C3⋊2(C6×S4) = C6×C3⋊S4 | φ: C6×S4/C6×A4 → C2 ⊆ Aut C3 | 36 | 6 | C3:2(C6xS4) | 432,761 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C6×S4) = C2×C32.S4 | φ: C6×S4/C6×A4 → C2 ⊆ Aut C3 | 18 | 6+ | C3.1(C6xS4) | 432,533 |
| C3.2(C6×S4) = C6×C3.S4 | φ: C6×S4/C6×A4 → C2 ⊆ Aut C3 | 36 | 6 | C3.2(C6xS4) | 432,534 |
| C3.3(C6×S4) = C2×C62⋊S3 | φ: C6×S4/C6×A4 → C2 ⊆ Aut C3 | 18 | 6+ | C3.3(C6xS4) | 432,535 |
| C3.4(C6×S4) = C18×S4 | central extension (φ=1) | 54 | 3 | C3.4(C6xS4) | 432,532 |