Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14583230 | C2 | semidirect |
| 5. #14583210 | C2 | semidirect |
| 6. #14583139 | C2 | semidirect |
| 7. #14583125 | C2 | semidirect |
| 8. #14583058 | C2 | semidirect |
| 9. #14583055 | C2 | semidirect |
| 10. C22⋊C8×D43 | C2 | semidirect |
| 11. C43×#448 | C2 | semidirect |
| 14. C2×#10621885 | C22 | semidirect |
| 31. #13063258 | C22 | semidirect |
| 32. #13063257 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063249 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 39. C2×SD16×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 159. #448 | D43 | semidirect |
| 161. C43 | #3190 | semidirect |
| 166. C2×SD16 | C2×D43 | semidirect |
| 188. #103 | C2×D43 | semidirect |