Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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×#14273749 | C2 | semidirect |
| 2. #16837843 | C2 | semidirect |
| 3. #16837842 | C2 | semidirect |
| 4. #16837838 | C2 | semidirect |
| 5. #16837837 | C2 | semidirect |
| 6. #16837832 | C2 | semidirect |
| 7. C2×#14273667 | C2 | semidirect |
| 8. C2×#135×C59 | C2 | semidirect |
| 13. #14273749 | C22 | semidirect |
| 14. C2×Dic236 | C22 | semidirect |
| 16. C2×D472 | C22 | semidirect |
| 17. #14273673 | C22 | semidirect |
| 18. #14273671 | C22 | semidirect |
| 19. #14273670 | C22 | semidirect |
| 20. #14273668 | C22 | semidirect |
| 21. #14273667 | C22 | semidirect |
| 22. #14273667 | C22 | semidirect |
| 23. C2×C59⋊C16 | C22 | semidirect |
| 28. #135×C59 | C22 | semidirect |
| 29. C2×Q16×C59 | C22 | semidirect |
| 31. C2×D8×C59 | C22 | semidirect |
| 122. C2×#135 | D59 | semidirect |
| 129. C59 | #3414 | semidirect |
| 139. #135 | C2×D59 | semidirect |
| 141. C2×Q16 | C2×D59 | semidirect |
| 145. C2×D8 | C2×D59 | semidirect |