Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
754 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. C2×#13063354 | C2 | semidirect |
| 3. C22⋊Q8×D43 | C2 | semidirect |
| 4. #14583062 | C2 | semidirect |
| 5. #14583058 | C2 | semidirect |
| 6. #14583057 | C2 | semidirect |
| 7. #14583054 | C2 | semidirect |
| 8. #14583050 | C2 | semidirect |
| 9. #14582897 | C2 | semidirect |
| 10. #14582861 | C2 | semidirect |
| 11. C43×#450 | C2 | semidirect |
| 18. C2×Q8×D43 | C22 | semidirect |
| 23. C2×Dic172 | C22 | semidirect |
| 24. C2×#10621885 | C22 | semidirect |
| 25. C2×#10621883 | C22 | semidirect |
| 26. C2×#10621872 | C22 | semidirect |
| 27. #13063305 | C22 | semidirect |
| 31. #13063301 | C22 | semidirect |
| 33. C4⋊C4×D43 | C22 | semidirect |
| 35. #13063250 | C22 | semidirect |
| 36. #13063248 | C22 | semidirect |
| 37. #13063246 | C22 | semidirect |
| 39. (C2×D43)⋊C8 | C22 | semidirect |
| 41. C2×SD16×C43 | C22 | semidirect |
| 43. #102×C43 | C22 | semidirect |
| 146. C22×C43 | #137 | semidirect |
| 180. #450 | D43 | semidirect |
| 183. C43 | #3007 | semidirect |
| 199. C2×SD16 | C2×D43 | semidirect |
| 213. #102 | C2×D43 | semidirect |
| 325. C22 | #13063354 | semidirect |