Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #16837882 | C2 | semidirect |
| 3. #16837725 | C2 | semidirect |
| 4. #16837724 | C2 | semidirect |
| 5. #16837719 | C2 | semidirect |
| 6. #16837714 | C2 | semidirect |
| 7. #16837444 | C2 | semidirect |
| 8. #16837438 | C2 | semidirect |
| 9. C2×#14273648 | C2 | semidirect |
| 10. #16837370 | C2 | semidirect |
| 11. C59×#418 | C2 | semidirect |
| 23. #14273685 | C22 | semidirect |
| 25. C4⋊C4×D59 | C22 | semidirect |
| 26. #14273661 | C22 | semidirect |
| 27. #14273660 | C22 | semidirect |
| 28. #14273660 | C22 | semidirect |
| 29. #14273659 | C22 | semidirect |
| 30. #14273658 | C22 | semidirect |
| 31. #14273658 | C22 | semidirect |
| 34. (C2×D59)⋊C8 | C22 | semidirect |
| 35. (C2×D59)⋊C8 | C22 | semidirect |
| 143. #418 | D59 | semidirect |
| 146. C59 | #3096 | semidirect |