Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
762 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#13063370 | C2 | semidirect |
| 2. #14583699 | C2 | semidirect |
| 3. #14583466 | C2 | semidirect |
| 4. #14583079 | C2 | semidirect |
| 5. #14583069 | C2 | semidirect |
| 6. #14582915 | C2 | semidirect |
| 7. C2×#100×C43 | C2 | semidirect |
| 12. C2×#10621898 | C22 | semidirect |
| 17. #13063358 | C22 | semidirect |
| 19. #13063353 | C22 | semidirect |
| 21. #13063321 | C22 | semidirect |
| 22. #13063312 | C22 | semidirect |
| 25. #13063284 | C22 | semidirect |
| 26. #13063251 | C22 | semidirect |
| 28. C2×M16×C43 | C22 | semidirect |
| 29. #100×C43 | C22 | semidirect |
| 52. #10621898 | D4 | semidirect |
| 54. C2×D172 | D4 | semidirect |
| 55. C2×D172 | C23 | semidirect |
| 58. C2×Dic86 | D4 | semidirect |
| 59. C2×Dic86 | C23 | semidirect |
| 61. M16×C43 | C23 | semidirect |
| 66. C4×Dic43 | C23 | semidirect |
| 138. C2×#100 | D43 | semidirect |
| 139. C43 | #3019 | semidirect |
| 154. C2×M16 | C2×D43 | semidirect |
| 161. #100 | C2×D43 | semidirect |
| 197. M16 | C22×D43 | semidirect |