Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063355 | C2 | semidirect |
| 2. C2×#13063350 | C2 | semidirect |
| 3. C22×#10621873 | C2 | semidirect |
| 4. #14583470 | C2 | semidirect |
| 5. #14583463 | C2 | semidirect |
| 6. #14583292 | C2 | semidirect |
| 7. #14583287 | C2 | semidirect |
| 8. #14583280 | C2 | semidirect |
| 9. #14583270 | C2 | semidirect |
| 10. #14582854 | C2 | semidirect |
| 11. C2×#135×C43 | C2 | semidirect |
| 16. C2×#10621885 | C22 | semidirect |
| 20. C2×#10621883 | C22 | semidirect |
| 24. #13063323 | C22 | semidirect |
| 27. #13063312 | C22 | semidirect |
| 33. #13063235 | C22 | semidirect |
| 34. C8×Dic43 | C22 | semidirect |
| 38. C2×Q16×C43 | C22 | semidirect |
| 39. C2×SD16×C43 | C22 | semidirect |
| 40. C2×SD16×C43 | C22 | semidirect |
| 41. C2×D8×C43 | C22 | semidirect |
| 71. C2×C8×C43 | D4 | semidirect |
| 84. #10621877 | D4 | semidirect |
| 151. C2×#135 | D43 | semidirect |
| 160. C43 | #3154 | semidirect |
| 169. C2×Q16 | C2×D43 | semidirect |
| 175. C2×SD16 | C2×D43 | semidirect |
| 176. C2×SD16 | C2×D43 | semidirect |
| 178. C2×D8 | C2×D43 | semidirect |
| 228. C2×C8 | C22⋊D43 | semidirect |