Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
462 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 462 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 |
|---|---|---|
| 2. C2×#13063283 | C2 | semidirect |
| 3. #14583226 | C2 | semidirect |
| 4. #14583222 | C2 | semidirect |
| 5. #14583218 | C2 | semidirect |
| 6. #14583215 | C2 | semidirect |
| 7. #14583212 | C2 | semidirect |
| 8. #14582940 | C2 | semidirect |
| 9. #14582902 | C2 | semidirect |
| 10. #14582861 | C2 | semidirect |
| 11. C43×#480 | C2 | semidirect |
| 24. #13063283 | C22 | semidirect |
| 25. C2×C4⋊Dic43 | C22 | semidirect |
| 30. #13063258 | C22 | semidirect |
| 31. #13063257 | C22 | semidirect |
| 32. #13063256 | C22 | semidirect |
| 33. #13063247 | C22 | semidirect |
| 34. #13063246 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 36. C22⋊(C43⋊C8) | C22 | semidirect |
| 37. (C2×D43)⋊C8 | C22 | semidirect |
| 39. C2×C4⋊C4×C43 | C22 | semidirect |
| 40. #107×C43 | C22 | semidirect |
| 41. #102×C43 | C22 | semidirect |
| 42. C22⋊C8×C43 | C22 | semidirect |
| 161. #480 | D43 | semidirect |
| 165. C43 | #3094 | semidirect |
| 182. C2×C4⋊C4 | C2×D43 | semidirect |
| 187. #107 | C2×D43 | semidirect |
| 193. #102 | C2×D43 | semidirect |
| 196. C22⋊C8 | C2×D43 | semidirect |