Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583444 | C2 | semidirect |
| 2. C2×D4×Dic43 | C2 | semidirect |
| 3. #14583213 | C2 | semidirect |
| 4. #14583210 | C2 | semidirect |
| 5. #14583177 | C2 | semidirect |
| 6. #14583092 | C2 | semidirect |
| 7. #14583033 | C2 | semidirect |
| 8. D8×Dic43 | C2 | semidirect |
| 9. #14582979 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#447 | C2 | semidirect |
| 15. #13063324 | C22 | semidirect |
| 16. #13063321 | C22 | semidirect |
| 24. D4×Dic43 | C22 | semidirect |
| 25. #13063287 | C22 | semidirect |
| 30. #13063259 | C22 | semidirect |
| 31. #13063258 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063247 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 94. D4×C43 | #41 | semidirect |
| 109. C2×Dic43 | D8 | semidirect |
| 157. #447 | D43 | semidirect |
| 161. C43 | #3100 | semidirect |
| 249. D4 | #10621900 | semidirect |