Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
738 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 143 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. C22×Q8×D43 | C2 | semidirect |
| 2. C2×#13063354 | C2 | semidirect |
| 4. #14583057 | C2 | semidirect |
| 5. #14583056 | C2 | semidirect |
| 6. #14583055 | C2 | semidirect |
| 7. #14583037 | C2 | semidirect |
| 8. #14583036 | C2 | semidirect |
| 9. #14582906 | C2 | semidirect |
| 10. #14582861 | C2 | semidirect |
| 11. C43×#448 | C2 | semidirect |
| 23. C2×Dic172 | C22 | semidirect |
| 24. C2×#10621885 | C22 | semidirect |
| 25. C2×#10621883 | C22 | semidirect |
| 35. #13063250 | C22 | semidirect |
| 36. #13063249 | C22 | semidirect |
| 37. #13063248 | C22 | semidirect |
| 41. C2×SD16×C43 | C22 | semidirect |
| 43. #103×C43 | C22 | semidirect |
| 63. Q8×D43 | D4 | semidirect |
| 144. C22×C43 | #137 | semidirect |
| 152. C2×D43 | #137 | semidirect |
| 178. #448 | D43 | semidirect |
| 181. C43 | #3004 | semidirect |
| 197. C2×SD16 | C2×D43 | semidirect |
| 211. #103 | C2×D43 | semidirect |
| 321. C22 | #13063354 | semidirect |