Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
760 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 760 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 |
|---|---|---|
| 2. C22×#11745672 | C2 | semidirect |
| 3. C22×#11745660 | C2 | semidirect |
| 4. C2×#14273707 | C2 | semidirect |
| 5. #16837567 | C2 | direct (N × H) |
| 6. C2×#14273647 | C2 | semidirect |
| 7. C2×(C2×D59)⋊C8 | C2 | semidirect |
| 8. C2×#103×C59 | C2 | semidirect |
| 19. C2×#11745672 | C22 | semidirect |
| 21. C2×#11745660 | C22 | semidirect |
| 24. #14273707 | C22 | semidirect |
| 27. #14273647 | C22 | semidirect |
| 28. (C2×D59)⋊C8 | C22 | semidirect |
| 32. #103×C59 | C22 | semidirect |
| 130. C2×C59 | #452 | semidirect |
| 141. C2×#103 | D59 | semidirect |
| 144. C59 | C2×#452 | semidirect |
| 166. #103 | C2×D59 | semidirect |
| 267. C2 | #16837567 | direct (N × H) |