Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837797 | C2 | semidirect |
| 3. #16837761 | C2 | semidirect |
| 4. #16837621 | C2 | semidirect |
| 5. #16837558 | C2 | semidirect |
| 7. #16837459 | C2 | semidirect |
| 9. C2×#11745672 | C22 | semidirect |
| 11. #14273727 | C22 | semidirect |
| 12. #14273727 | C22 | semidirect |
| 17. C4×Dic118 | C22 | semidirect |
| 19. C4⋊(C59⋊C8) | C22 | semidirect |
| 20. #14273651 | C22 | semidirect |
| 23. #14273638 | C22 | semidirect |
| 121. C59 | #3215 | semidirect |