Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
996 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 996 conjugacy classes of subgroups — too many to draw. Only its 173 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. C22×#10621873 | C2 | semidirect |
| 3. C22×#10621883 | C2 | semidirect |
| 4. C2×#13063305 | C2 | semidirect |
| 5. #14583051 | C2 | direct (N × H) |
| 6. C2×#13063245 | C2 | semidirect |
| 7. C2×(C2×D43)⋊C8 | C2 | semidirect |
| 8. C2×#102×C43 | C2 | semidirect |
| 10. C22×Dic86 | C22 | semidirect |
| 19. C2×#10621873 | C22 | semidirect |
| 21. C2×#10621883 | C22 | semidirect |
| 22. C22×C43⋊C8 | C22 | semidirect |
| 24. #13063305 | C22 | semidirect |
| 27. #13063245 | C22 | semidirect |
| 28. (C2×D43)⋊C8 | C22 | semidirect |
| 30. C22×C8×C43 | C22 | semidirect |
| 31. C2×C4⋊C4×C43 | C22 | semidirect |
| 32. #102×C43 | C22 | semidirect |
| 64. C2×Dic86 | C23 | semidirect |
| 66. C2×C8×C43 | C23 | semidirect |
| 68. C4⋊C4×C43 | C23 | semidirect |
| 73. C2×C43⋊C8 | C23 | semidirect |
| 90. C22×D43 | SD16 | semidirect |
| 133. C2×D43 | C2×SD16 | semidirect |
| 142. C2×C43 | #450 | semidirect |
| 154. C2×#102 | D43 | semidirect |
| 156. C43 | C2×#450 | semidirect |
| 172. C22×C8 | C2×D43 | semidirect |
| 176. C2×C4⋊C4 | C2×D43 | semidirect |
| 179. #102 | C2×D43 | semidirect |
| 218. C2×C8 | C22×D43 | semidirect |
| 221. C4⋊C4 | C22×D43 | semidirect |
| 291. C2 | #14583051 | direct (N × H) |