Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #14583606 | C2 | semidirect |
| 3. #14583246 | C2 | semidirect |
| 4. #14583218 | C2 | semidirect |
| 5. #14583190 | C2 | semidirect |
| 6. #14583128 | C2 | semidirect |
| 7. #14583100 | C2 | semidirect |
| 8. #14583052 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. C2×#13063247 | C2 | semidirect |
| 11. C8×D4×C43 | C2 | semidirect |
| 15. C2×#10621873 | C22 | semidirect |
| 16. #13063325 | C22 | semidirect |
| 19. #13063304 | C22 | semidirect |
| 24. C4×Dic86 | C22 | semidirect |
| 27. C2×C4⋊Dic43 | C22 | semidirect |
| 28. #13063257 | C22 | semidirect |
| 29. #13063257 | C22 | semidirect |
| 30. #13063250 | C22 | semidirect |
| 33. #13063247 | C22 | semidirect |
| 34. #13063247 | C22 | semidirect |
| 35. #13063247 | C22 | semidirect |
| 36. C22×C8×C43 | C22 | semidirect |
| 38. C4⋊C8×C43 | C22 | semidirect |
| 39. C22⋊C8×C43 | C22 | semidirect |
| 40. C4×C8×C43 | C22 | semidirect |
| 83. D4×C43 | SD16 | semidirect |
| 146. C8×D4 | D43 | semidirect |
| 148. C43 | #3295 | semidirect |
| 153. C22×C8 | C2×D43 | semidirect |
| 169. C4⋊C8 | C2×D43 | semidirect |
| 176. C22⋊C8 | C2×D43 | semidirect |
| 177. C4×C8 | C2×D43 | semidirect |
| 231. D4 | #10621873 | semidirect |