Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#13063313 | C2 | semidirect |
| 2. #14583281 | C2 | semidirect |
| 3. #14583256 | C2 | semidirect |
| 4. #14583121 | C2 | semidirect |
| 5. #14583114 | C2 | semidirect |
| 6. #14583054 | C2 | semidirect |
| 7. #14583049 | C2 | semidirect |
| 8. #14583037 | C2 | semidirect |
| 10. #14582952 | C2 | semidirect |
| 11. C43×#529 | C2 | semidirect |
| 14. C2×#10621885 | C22 | semidirect |
| 15. C2×#10621883 | C22 | semidirect |
| 24. C4⋊(C43⋊C8) | C22 | semidirect |
| 25. #13063248 | C22 | semidirect |
| 26. #13063248 | C22 | semidirect |
| 31. C4×C43⋊C8 | C22 | semidirect |
| 33. #125×C43 | C22 | semidirect |
| 34. #124×C43 | C22 | semidirect |
| 38. C4×Q8×C43 | C22 | semidirect |
| 40. C4×D4×C43 | C22 | semidirect |
| 144. #529 | D43 | semidirect |
| 155. C43 | #3211 | semidirect |
| 163. #125 | C2×D43 | semidirect |
| 168. #124 | C2×D43 | semidirect |
| 172. C4×Q8 | C2×D43 | semidirect |
| 174. C4×D4 | C2×D43 | semidirect |