Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063345 | C2 | semidirect |
| 2. C22×#10621872 | C2 | semidirect |
| 3. #14583411 | C2 | semidirect |
| 4. #14583406 | C2 | semidirect |
| 5. #14583156 | C2 | semidirect |
| 6. #14583151 | C2 | semidirect |
| 7. #14583148 | C2 | semidirect |
| 8. #14583144 | C2 | semidirect |
| 9. #14582935 | C2 | semidirect |
| 10. #14582896 | C2 | semidirect |
| 11. C43×#416 | C2 | semidirect |
| 15. C2×#10621885 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 17. C2×#10621884 | C22 | semidirect |
| 18. C2×#10621882 | C22 | semidirect |
| 34. #13063258 | C22 | semidirect |
| 35. #13063256 | C22 | semidirect |
| 36. #13063250 | C22 | semidirect |
| 37. #13063247 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 42. #102×C43 | C22 | semidirect |
| 82. C2×C43⋊C8 | D4 | semidirect |
| 159. #416 | D43 | semidirect |
| 160. C43 | #3054 | semidirect |
| 189. #103 | C2×D43 | semidirect |
| 191. #102 | C2×D43 | semidirect |