extension | φ:Q→Out N | d | ρ | Label | ID |
D4⋊1(C4×S3) = Dic3⋊4D8 | φ: C4×S3/Dic3 → C2 ⊆ Out D4 | 96 | | D4:1(C4xS3) | 192,315 |
D4⋊2(C4×S3) = D4⋊S3⋊C4 | φ: C4×S3/Dic3 → C2 ⊆ Out D4 | 96 | | D4:2(C4xS3) | 192,344 |
D4⋊3(C4×S3) = C4×D4⋊S3 | φ: C4×S3/C12 → C2 ⊆ Out D4 | 96 | | D4:3(C4xS3) | 192,572 |
D4⋊4(C4×S3) = C42.48D6 | φ: C4×S3/C12 → C2 ⊆ Out D4 | 96 | | D4:4(C4xS3) | 192,573 |
D4⋊5(C4×S3) = S3×D4⋊C4 | φ: C4×S3/D6 → C2 ⊆ Out D4 | 48 | | D4:5(C4xS3) | 192,328 |
D4⋊6(C4×S3) = D4⋊(C4×S3) | φ: C4×S3/D6 → C2 ⊆ Out D4 | 96 | | D4:6(C4xS3) | 192,330 |
D4⋊7(C4×S3) = S3×C4≀C2 | φ: C4×S3/D6 → C2 ⊆ Out D4 | 24 | 4 | D4:7(C4xS3) | 192,379 |
D4⋊8(C4×S3) = C4×D4⋊2S3 | φ: trivial image | 96 | | D4:8(C4xS3) | 192,1095 |
D4⋊9(C4×S3) = C42⋊13D6 | φ: trivial image | 48 | | D4:9(C4xS3) | 192,1104 |
D4⋊10(C4×S3) = C42.108D6 | φ: trivial image | 96 | | D4:10(C4xS3) | 192,1105 |
extension | φ:Q→Out N | d | ρ | Label | ID |
D4.1(C4×S3) = D4.S3⋊C4 | φ: C4×S3/Dic3 → C2 ⊆ Out D4 | 96 | | D4.1(C4xS3) | 192,316 |
D4.2(C4×S3) = Dic3⋊6SD16 | φ: C4×S3/Dic3 → C2 ⊆ Out D4 | 96 | | D4.2(C4xS3) | 192,317 |
D4.3(C4×S3) = M4(2).22D6 | φ: C4×S3/Dic3 → C2 ⊆ Out D4 | 48 | 4 | D4.3(C4xS3) | 192,382 |
D4.4(C4×S3) = C42.196D6 | φ: C4×S3/Dic3 → C2 ⊆ Out D4 | 48 | 4 | D4.4(C4xS3) | 192,383 |
D4.5(C4×S3) = C4×D4.S3 | φ: C4×S3/C12 → C2 ⊆ Out D4 | 96 | | D4.5(C4xS3) | 192,576 |
D4.6(C4×S3) = C42.51D6 | φ: C4×S3/C12 → C2 ⊆ Out D4 | 96 | | D4.6(C4xS3) | 192,577 |
D4.7(C4×S3) = C24.100D4 | φ: C4×S3/C12 → C2 ⊆ Out D4 | 48 | 4 | D4.7(C4xS3) | 192,703 |
D4.8(C4×S3) = C24.54D4 | φ: C4×S3/C12 → C2 ⊆ Out D4 | 48 | 4 | D4.8(C4xS3) | 192,704 |
D4.9(C4×S3) = C4⋊C4⋊19D6 | φ: C4×S3/D6 → C2 ⊆ Out D4 | 48 | | D4.9(C4xS3) | 192,329 |
D4.10(C4×S3) = D4⋊2S3⋊C4 | φ: C4×S3/D6 → C2 ⊆ Out D4 | 96 | | D4.10(C4xS3) | 192,331 |
D4.11(C4×S3) = C42⋊3D6 | φ: C4×S3/D6 → C2 ⊆ Out D4 | 48 | 4 | D4.11(C4xS3) | 192,380 |
D4.12(C4×S3) = S3×C8○D4 | φ: trivial image | 48 | 4 | D4.12(C4xS3) | 192,1308 |
D4.13(C4×S3) = M4(2)⋊28D6 | φ: trivial image | 48 | 4 | D4.13(C4xS3) | 192,1309 |