| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×C6×A4 | 36 | 6 | S3xC6xA4 | 432,763 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C2×S3×A4) = S32×A4 | φ: C2×S3×A4/S3×A4 → C2 ⊆ Aut C3 | 24 | 12+ | C3:1(C2xS3xA4) | 432,749 |
| C3⋊2(C2×S3×A4) = C2×A4×C3⋊S3 | φ: C2×S3×A4/C6×A4 → C2 ⊆ Aut C3 | 54 | C3:2(C2xS3xA4) | 432,764 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C2×S3×A4) = C2×D9⋊A4 | φ: C2×S3×A4/C6×A4 → C2 ⊆ Aut C3 | 54 | 6+ | C3.1(C2xS3xA4) | 432,539 |
| C3.2(C2×S3×A4) = C2×A4×D9 | φ: C2×S3×A4/C6×A4 → C2 ⊆ Aut C3 | 54 | 6+ | C3.2(C2xS3xA4) | 432,540 |
| C3.3(C2×S3×A4) = C2×C62⋊C6 | φ: C2×S3×A4/C6×A4 → C2 ⊆ Aut C3 | 18 | 6+ | C3.3(C2xS3xA4) | 432,542 |
| C3.4(C2×S3×A4) = C2×S3×C3.A4 | central extension (φ=1) | 36 | 6 | C3.4(C2xS3xA4) | 432,541 |