Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
440 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 153 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. #16837959 | C2 | semidirect |
| 2. #16837702 | C2 | semidirect |
| 3. #16837692 | C2 | semidirect |
| 4. #16837682 | C2 | semidirect |
| 5. #16837442 | C2 | semidirect |
| 6. #16837426 | C2 | semidirect |
| 10. #14273727 | C22 | semidirect |
| 11. #14273727 | C22 | semidirect |
| 12. #14273719 | C22 | semidirect |
| 18. #14273660 | C22 | semidirect |
| 19. #14273658 | C22 | semidirect |
| 20. C4⋊(C59⋊C8) | C22 | semidirect |
| 21. C4⋊(C59⋊C8) | C22 | semidirect |
| 36. C2×D4×C59 | Q8 | semidirect |
| 124. C59 | #3077 | semidirect |
| 154. C2×D4 | Dic118 | semidirect |