| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C6×C3⋊S4 | 36 | 6 | C6xC3:S4 | 432,761 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C2×C3⋊S4) = S3×C3⋊S4 | φ: C2×C3⋊S4/C3⋊S4 → C2 ⊆ Aut C3 | 24 | 12+ | C3:1(C2xC3:S4) | 432,747 |
| C3⋊2(C2×C3⋊S4) = C2×C32⋊4S4 | φ: C2×C3⋊S4/C6×A4 → C2 ⊆ Aut C3 | 54 | C3:2(C2xC3:S4) | 432,762 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C2×C3⋊S4) = C2×C9⋊S4 | φ: C2×C3⋊S4/C6×A4 → C2 ⊆ Aut C3 | 54 | 6+ | C3.1(C2xC3:S4) | 432,536 |
| C3.2(C2×C3⋊S4) = C2×C32.3S4 | φ: C2×C3⋊S4/C6×A4 → C2 ⊆ Aut C3 | 54 | C3.2(C2xC3:S4) | 432,537 | |
| C3.3(C2×C3⋊S4) = C2×C32⋊S4 | central stem extension (φ=1) | 18 | 3 | C3.3(C2xC3:S4) | 432,538 |