Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
844 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 844 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×#13063370 | C2 | semidirect |
| 2. C2×#13063353 | C2 | semidirect |
| 3. C2×#13063321 | C2 | semidirect |
| 4. #14583069 | C2 | direct (N × H) |
| 5. C2×#13063251 | C2 | semidirect |
| 6. C2×#100×C43 | C2 | semidirect |
| 9. #13063370 | C22 | semidirect |
| 12. C22×D172 | C22 | semidirect |
| 17. #13063353 | C22 | semidirect |
| 21. #13063321 | C22 | semidirect |
| 22. C2×C4×Dic43 | C22 | semidirect |
| 23. #13063251 | C22 | semidirect |
| 25. C2×M16×C43 | C22 | semidirect |
| 26. #100×C43 | C22 | semidirect |
| 49. #10621898 | D4 | semidirect |
| 54. C2×D172 | D4 | semidirect |
| 55. C2×D172 | C23 | semidirect |
| 57. C2×Dic86 | D4 | semidirect |
| 59. M16×C43 | C23 | semidirect |
| 62. C4×Dic43 | C23 | semidirect |
| 94. D172 | C2×D4 | semidirect |
| 98. Dic86 | C2×D4 | semidirect |
| 123. C2×C43 | #453 | semidirect |
| 132. C2×#100 | D43 | semidirect |
| 133. C43 | C2×#453 | semidirect |
| 148. C2×M16 | C2×D43 | semidirect |
| 153. #100 | C2×D43 | semidirect |
| 188. M16 | C22×D43 | semidirect |
| 251. C2 | #14583069 | direct (N × H) |