extension | φ:Q→Out N | d | ρ | Label | ID |
C4○D4⋊1C23 = C2×D4○D8 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | | C4oD4:1C2^3 | 128,2313 |
C4○D4⋊2C23 = C2×D4○SD16 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | | C4oD4:2C2^3 | 128,2314 |
C4○D4⋊3C23 = D8⋊C23 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | 8+ | C4oD4:3C2^3 | 128,2317 |
C4○D4⋊4C23 = C22×C4○D8 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 64 | | C4oD4:4C2^3 | 128,2309 |
C4○D4⋊5C23 = C22×C8⋊C22 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4:5C2^3 | 128,2310 |
C4○D4⋊6C23 = C2×D8⋊C22 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4:6C2^3 | 128,2312 |
C4○D4⋊7C23 = C22×2+ 1+4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4:7C2^3 | 128,2323 |
C4○D4⋊8C23 = C22×2- 1+4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 64 | | C4oD4:8C2^3 | 128,2324 |
C4○D4⋊9C23 = 2+ 1+6 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 16 | 8+ | C4oD4:9C2^3 | 128,2326 |
C4○D4⋊10C23 = C2×C2.C25 | φ: trivial image | 32 | | C4oD4:10C2^3 | 128,2325 |
extension | φ:Q→Out N | d | ρ | Label | ID |
C4○D4.1C23 = C2×D4⋊4D4 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | | C4oD4.1C2^3 | 128,1746 |
C4○D4.2C23 = C2×D4.9D4 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | | C4oD4.2C2^3 | 128,1747 |
C4○D4.3C23 = C2×D4.8D4 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | | C4oD4.3C2^3 | 128,1748 |
C4○D4.4C23 = C2×D4.10D4 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | | C4oD4.4C2^3 | 128,1749 |
C4○D4.5C23 = C42.313C23 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | 4 | C4oD4.5C2^3 | 128,1750 |
C4○D4.6C23 = M4(2)⋊C23 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | 8+ | C4oD4.6C2^3 | 128,1751 |
C4○D4.7C23 = M4(2).C23 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | 8- | C4oD4.7C2^3 | 128,1752 |
C4○D4.8C23 = C42.12C23 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | 8+ | C4oD4.8C2^3 | 128,1753 |
C4○D4.9C23 = C42.13C23 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | 8- | C4oD4.9C2^3 | 128,1754 |
C4○D4.10C23 = D8⋊11D4 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | 8+ | C4oD4.10C2^3 | 128,2020 |
C4○D4.11C23 = D8.13D4 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | 8- | C4oD4.11C2^3 | 128,2021 |
C4○D4.12C23 = D8○SD16 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | 4 | C4oD4.12C2^3 | 128,2022 |
C4○D4.13C23 = D8⋊6D4 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | 4 | C4oD4.13C2^3 | 128,2023 |
C4○D4.14C23 = D8○D8 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 16 | 4+ | C4oD4.14C2^3 | 128,2024 |
C4○D4.15C23 = D8○Q16 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | 4- | C4oD4.15C2^3 | 128,2025 |
C4○D4.16C23 = C2×Q8○D8 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 64 | | C4oD4.16C2^3 | 128,2315 |
C4○D4.17C23 = C8.C24 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | 4 | C4oD4.17C2^3 | 128,2316 |
C4○D4.18C23 = C4.C25 | φ: C23/C2 → C22 ⊆ Out C4○D4 | 32 | 8- | C4oD4.18C2^3 | 128,2318 |
C4○D4.19C23 = C22×C4≀C2 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4.19C2^3 | 128,1631 |
C4○D4.20C23 = C2×C42⋊C22 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4.20C2^3 | 128,1632 |
C4○D4.21C23 = 2- 1+4⋊5C4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 16 | 4 | C4oD4.21C2^3 | 128,1633 |
C4○D4.22C23 = C2×C8○D8 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4.22C2^3 | 128,1685 |
C4○D4.23C23 = C2×C8.26D4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4.23C2^3 | 128,1686 |
C4○D4.24C23 = C42.283C23 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | 4 | C4oD4.24C2^3 | 128,1687 |
C4○D4.25C23 = M4(2).51D4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 16 | 4 | C4oD4.25C2^3 | 128,1688 |
C4○D4.26C23 = M4(2)○D8 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | 4 | C4oD4.26C2^3 | 128,1689 |
C4○D4.27C23 = C2×D4.3D4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4.27C2^3 | 128,1796 |
C4○D4.28C23 = C2×D4.4D4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | | C4oD4.28C2^3 | 128,1797 |
C4○D4.29C23 = C2×D4.5D4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 64 | | C4oD4.29C2^3 | 128,1798 |
C4○D4.30C23 = M4(2).10C23 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | 4 | C4oD4.30C2^3 | 128,1799 |
C4○D4.31C23 = M4(2).37D4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 16 | 8+ | C4oD4.31C2^3 | 128,1800 |
C4○D4.32C23 = M4(2).38D4 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | 8- | C4oD4.32C2^3 | 128,1801 |
C4○D4.33C23 = C22×C8.C22 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 64 | | C4oD4.33C2^3 | 128,2311 |
C4○D4.34C23 = 2- 1+6 | φ: C23/C22 → C2 ⊆ Out C4○D4 | 32 | 8- | C4oD4.34C2^3 | 128,2327 |
C4○D4.35C23 = C22×C8○D4 | φ: trivial image | 64 | | C4oD4.35C2^3 | 128,2303 |
C4○D4.36C23 = C2×Q8○M4(2) | φ: trivial image | 32 | | C4oD4.36C2^3 | 128,2304 |
C4○D4.37C23 = C4.22C25 | φ: trivial image | 32 | 4 | C4oD4.37C2^3 | 128,2305 |