Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16837726 | C2 | semidirect |
| 3. #16837726 | C2 | semidirect |
| 4. #16837720 | C2 | semidirect |
| 5. #16837715 | C2 | semidirect |
| 6. #16837442 | C2 | semidirect |
| 7. #16837438 | C2 | semidirect |
| 8. #16837406 | C2 | semidirect |
| 9. C2×#14273647 | C2 | semidirect |
| 10. #16837369 | C2 | semidirect |
| 11. C59×#520 | 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 |
| 31. C22⋊(C59⋊C8) | C22 | semidirect |
| 32. C22⋊(C59⋊C8) | C22 | semidirect |
| 38. #117×C59 | C22 | semidirect |
| 40. C2×C4⋊C4×C59 | C22 | semidirect |
| 136. #520 | D59 | semidirect |
| 146. C59 | #3096 | semidirect |
| 161. #117 | C2×D59 | semidirect |
| 163. C2×C4⋊C4 | C2×D59 | semidirect |