Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
738 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 153 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×#13063355 | C2 | semidirect |
| 4. #14583053 | C2 | semidirect |
| 5. #14583036 | C2 | semidirect |
| 6. #14582909 | C2 | semidirect |
| 7. #14582908 | C2 | semidirect |
| 8. #14582862 | C2 | semidirect |
| 9. C2×#137×C43 | C2 | semidirect |
| 19. C2×#10621885 | C22 | semidirect |
| 20. C2×#10621883 | C22 | semidirect |
| 28. #13063250 | C22 | semidirect |
| 29. #13063249 | C22 | semidirect |
| 34. C2×Q16×C43 | C22 | semidirect |
| 35. C2×SD16×C43 | C22 | semidirect |
| 42. C2×Q8×C43 | D4 | semidirect |
| 66. C2×Dic86 | D4 | semidirect |
| 127. C2×D43 | #137 | semidirect |
| 144. C2×#137 | D43 | semidirect |
| 151. C43 | #3004 | semidirect |
| 165. C2×Q16 | C2×D43 | semidirect |
| 167. C2×SD16 | C2×D43 | semidirect |
| 193. C2×Q8 | C22⋊D43 | semidirect |