Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14583380 | C2 | semidirect |
| 3. #14583226 | C2 | semidirect |
| 4. #14583225 | C2 | semidirect |
| 5. #14583219 | C2 | semidirect |
| 6. #14583214 | C2 | semidirect |
| 7. #14582935 | C2 | semidirect |
| 8. #14582905 | C2 | semidirect |
| 9. C2×#13063245 | C2 | semidirect |
| 10. #14582867 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 24. #13063283 | C22 | semidirect |
| 25. C4⋊C4×D43 | C22 | semidirect |
| 26. #13063258 | C22 | semidirect |
| 27. #13063258 | C22 | semidirect |
| 28. #13063256 | C22 | semidirect |
| 29. #13063256 | C22 | semidirect |
| 34. (C2×D43)⋊C8 | C22 | semidirect |
| 35. (C2×D43)⋊C8 | C22 | semidirect |
| 39. #107×C43 | C22 | semidirect |
| 40. #106×C43 | C22 | semidirect |
| 141. #428 | D43 | semidirect |
| 146. C43 | #3096 | semidirect |
| 166. #107 | C2×D43 | semidirect |
| 169. #106 | C2×D43 | semidirect |