| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| S3×D4×C32 | 72 | S3xD4xC3^2 | 432,704 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3⋊1(C3×S3×D4) = C3×S3×D12 | φ: C3×S3×D4/S3×C12 → C2 ⊆ Aut C3 | 48 | 4 | C3:1(C3xS3xD4) | 432,649 |
| C3⋊2(C3×S3×D4) = C3×D6⋊D6 | φ: C3×S3×D4/C3×D12 → C2 ⊆ Aut C3 | 48 | 4 | C3:2(C3xS3xD4) | 432,650 |
| C3⋊3(C3×S3×D4) = C3×Dic3⋊D6 | φ: C3×S3×D4/C3×C3⋊D4 → C2 ⊆ Aut C3 | 24 | 4 | C3:3(C3xS3xD4) | 432,659 |
| C3⋊4(C3×S3×D4) = C3×D4×C3⋊S3 | φ: C3×S3×D4/D4×C32 → C2 ⊆ Aut C3 | 72 | C3:4(C3xS3xD4) | 432,714 | |
| C3⋊5(C3×S3×D4) = C3×S3×C3⋊D4 | φ: C3×S3×D4/S3×C2×C6 → C2 ⊆ Aut C3 | 24 | 4 | C3:5(C3xS3xD4) | 432,658 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C3.1(C3×S3×D4) = C3×D4×D9 | φ: C3×S3×D4/D4×C32 → C2 ⊆ Aut C3 | 72 | 4 | C3.1(C3xS3xD4) | 432,356 |
| C3.2(C3×S3×D4) = D4×C32⋊C6 | φ: C3×S3×D4/D4×C32 → C2 ⊆ Aut C3 | 36 | 12+ | C3.2(C3xS3xD4) | 432,360 |
| C3.3(C3×S3×D4) = D4×C9⋊C6 | φ: C3×S3×D4/D4×C32 → C2 ⊆ Aut C3 | 36 | 12+ | C3.3(C3xS3xD4) | 432,362 |
| C3.4(C3×S3×D4) = S3×D4×C9 | central extension (φ=1) | 72 | 4 | C3.4(C3xS3xD4) | 432,358 |