Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16837968 | C2 | semidirect |
| 2. #16837729 | C2 | semidirect |
| 3. #16837724 | C2 | semidirect |
| 4. #16837653 | C2 | semidirect |
| 5. #16837638 | C2 | semidirect |
| 6. #16837537 | C2 | semidirect |
| 7. #16837534 | C2 | semidirect |
| 8. #16837368 | C2 | semidirect |
| 9. C59×#466 | C2 | semidirect |
| 11. C2×D4×D59 | C22 | semidirect |
| 14. C2×#11745664 | C22 | semidirect |
| 18. #14273701 | C22 | semidirect |
| 22. #14273685 | C22 | semidirect |
| 23. #14273661 | C22 | semidirect |
| 24. #14273658 | C22 | semidirect |
| 25. #14273649 | C22 | semidirect |
| 26. #14273648 | C22 | semidirect |
| 27. #14273647 | C22 | semidirect |
| 28. (C2×D59)⋊C8 | C22 | semidirect |
| 29. (C2×D59)⋊C8 | C22 | semidirect |
| 31. C22×C8×C59 | C22 | semidirect |
| 32. #121×C59 | C22 | semidirect |
| 33. #107×C59 | C22 | semidirect |
| 34. #102×C59 | C22 | semidirect |
| 132. #466 | D59 | semidirect |
| 136. C59 | #3199 | semidirect |
| 143. C22×C8 | C2×D59 | semidirect |
| 149. #121 | C2×D59 | semidirect |
| 154. #107 | C2×D59 | semidirect |
| 159. #102 | C2×D59 | semidirect |