Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#10621873 | C2 | semidirect |
| 2. C22×C8×D43 | C2 | semidirect |
| 3. C2×#13063305 | C2 | semidirect |
| 5. #14583129 | C2 | direct (N × H) |
| 6. C2×#13063248 | C2 | semidirect |
| 7. C2×#13063245 | C2 | semidirect |
| 8. C2×#106×C43 | C2 | semidirect |
| 14. C2×#10621873 | C22 | semidirect |
| 17. C2×C8×D43 | C22 | semidirect |
| 19. #13063305 | C22 | semidirect |
| 25. #13063248 | C22 | semidirect |
| 26. #13063245 | C22 | semidirect |
| 30. #106×C43 | C22 | semidirect |
| 52. C2×C8×C43 | D4 | semidirect |
| 72. C22×D43 | SD16 | semidirect |
| 96. C8×C43 | C2×D4 | semidirect |
| 109. C2×D43 | C2×SD16 | semidirect |
| 118. C2×C43 | #465 | semidirect |
| 129. C2×#106 | D43 | semidirect |
| 132. C43 | C2×#465 | semidirect |
| 152. #106 | C2×D43 | semidirect |
| 180. C2×C8 | D172 | semidirect |
| 221. C8 | C2×D172 | semidirect |
| 243. C2 | #14583129 | direct (N × H) |