Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14273750 | C2 | semidirect |
| 2. C22×D472 | C2 | semidirect |
| 3. #16838043 | C2 | semidirect |
| 4. #16837787 | C2 | semidirect |
| 5. #16837639 | C2 | semidirect |
| 6. #16837620 | C2 | semidirect |
| 7. #16837552 | C2 | semidirect |
| 8. #16837550 | C2 | semidirect |
| 9. #16837484 | C2 | semidirect |
| 10. C8×C22⋊D59 | C2 | semidirect |
| 11. C59×#467 | C2 | semidirect |
| 12. C2×#11745689 | C22 | semidirect |
| 15. C2×#11745671 | C22 | semidirect |
| 16. C2×#11745671 | C22 | semidirect |
| 21. C2×C8×D59 | C22 | semidirect |
| 22. #14273716 | C22 | semidirect |
| 25. #14273702 | C22 | semidirect |
| 27. #14273689 | C22 | semidirect |
| 30. Dic59⋊C8 | C22 | semidirect |
| 31. #14273647 | C22 | semidirect |
| 32. #14273647 | C22 | semidirect |
| 34. (C2×D59)⋊C8 | C22 | semidirect |
| 35. C8×Dic59 | C22 | semidirect |
| 36. C2×Q16×C59 | C22 | semidirect |
| 39. #107×C59 | C22 | semidirect |
| 40. #103×C59 | C22 | semidirect |
| 78. D472 | D4 | semidirect |
| 116. C22×C59 | #135 | semidirect |
| 148. #467 | D59 | semidirect |
| 155. C59 | #3280 | semidirect |
| 159. C2×Q16 | C2×D59 | semidirect |
| 177. #107 | C2×D59 | semidirect |
| 179. #103 | C2×D59 | semidirect |
| 270. C22 | #14273750 | semidirect |