Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
414 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 113 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×#13063301 | C2 | semidirect |
| 3. #14583238 | C2 | semidirect |
| 4. #14583232 | C2 | semidirect |
| 5. #14583218 | C2 | semidirect |
| 6. #14583154 | C2 | semidirect |
| 7. #14583148 | C2 | semidirect |
| 8. #14583060 | C2 | semidirect |
| 9. #14583038 | C2 | semidirect |
| 10. #14582861 | C2 | semidirect |
| 11. C43×#451 | C2 | semidirect |
| 14. C2×#10621884 | C22 | semidirect |
| 31. #13063258 | C22 | semidirect |
| 32. #13063257 | C22 | semidirect |
| 33. #13063249 | C22 | semidirect |
| 34. #13063249 | C22 | semidirect |
| 35. #13063247 | C22 | semidirect |
| 39. C2×Q16×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 158. #451 | D43 | semidirect |
| 161. C43 | #3196 | semidirect |
| 165. C2×Q16 | C2×D43 | semidirect |
| 188. #103 | C2×D43 | semidirect |