Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
424 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16837912 | C2 | semidirect |
| 2. #16837745 | C2 | semidirect |
| 3. #16837724 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 5. #16837629 | C2 | semidirect |
| 6. #16837565 | C2 | semidirect |
| 7. #16837544 | C2 | semidirect |
| 8. C2×(C2×D59)⋊C8 | C2 | semidirect |
| 9. C59×#466 | C2 | semidirect |
| 12. C2×Dic236 | C22 | semidirect |
| 13. C2×#11745670 | C22 | semidirect |
| 23. #14273661 | C22 | semidirect |
| 24. #14273658 | C22 | semidirect |
| 25. #14273652 | C22 | semidirect |
| 26. #14273650 | C22 | semidirect |
| 27. #14273648 | C22 | semidirect |
| 30. C2×D8×C59 | C22 | semidirect |
| 33. #107×C59 | C22 | semidirect |
| 34. #102×C59 | C22 | semidirect |
| 126. #466 | D59 | semidirect |
| 131. C59 | #3191 | semidirect |
| 136. C2×D8 | C2×D59 | semidirect |
| 149. #107 | C2×D59 | semidirect |
| 154. #102 | C2×D59 | semidirect |