Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 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×#14273753 | C2 | semidirect |
| 2. C2×#14273752 | C2 | semidirect |
| 3. C2×#14273747 | C2 | semidirect |
| 4. C22×#11745669 | C2 | semidirect |
| 5. #16837971 | C2 | semidirect |
| 6. #16837792 | C2 | semidirect |
| 7. #16837789 | C2 | semidirect |
| 8. #16837784 | C2 | semidirect |
| 9. #16837778 | C2 | semidirect |
| 10. #16837358 | C2 | semidirect |
| 11. C59×#535 | C2 | semidirect |
| 17. C2×#11745672 | C22 | semidirect |
| 18. C2×#11745670 | C22 | semidirect |
| 19. C2×#11745670 | C22 | semidirect |
| 20. C2×#11745671 | C22 | semidirect |
| 21. C2×#11745671 | C22 | semidirect |
| 25. C2×#11745669 | C22 | semidirect |
| 26. C2×#11745669 | C22 | semidirect |
| 27. C2×#11745669 | C22 | semidirect |
| 30. #14273724 | C22 | semidirect |
| 31. #14273715 | C22 | semidirect |
| 34. #14273638 | C22 | semidirect |
| 35. C4×C59⋊C8 | C22 | semidirect |
| 38. #127×C59 | C22 | semidirect |
| 39. #124×C59 | C22 | semidirect |
| 83. #11745664 | D4 | semidirect |
| 84. C2×C59⋊C8 | D4 | semidirect |
| 159. #535 | D59 | semidirect |
| 165. C59 | #3155 | semidirect |
| 187. #127 | C2×D59 | semidirect |
| 189. #124 | C2×D59 | semidirect |