Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16837699 | C2 | semidirect |
| 3. #16837699 | C2 | semidirect |
| 4. #16837689 | C2 | semidirect |
| 5. #16837679 | C2 | semidirect |
| 6. #16837442 | C2 | semidirect |
| 7. #16837438 | C2 | semidirect |
| 8. #16837429 | C2 | semidirect |
| 11. C59×#544 | C2 | semidirect |
| 21. #14273660 | C22 | semidirect |
| 22. #14273660 | C22 | semidirect |
| 23. #14273660 | C22 | semidirect |
| 24. #14273658 | C22 | semidirect |
| 25. #14273658 | C22 | semidirect |
| 26. #14273658 | C22 | semidirect |
| 27. C4⋊(C59⋊C8) | C22 | semidirect |
| 28. C4⋊(C59⋊C8) | C22 | semidirect |
| 34. C4⋊Q8×C59 | C22 | semidirect |
| 36. #125×C59 | C22 | semidirect |
| 47. C2×D236 | Q8 | semidirect |
| 125. #544 | D59 | semidirect |
| 136. C59 | #3081 | semidirect |
| 141. C4⋊Q8 | C2×D59 | semidirect |
| 143. #125 | C2×D59 | semidirect |