Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14273746 | C2 | semidirect |
| 2. C2×#14273735 | C2 | semidirect |
| 3. #16837981 | C2 | semidirect |
| 4. #16837661 | C2 | semidirect |
| 5. #16837660 | C2 | semidirect |
| 6. #16837652 | C2 | semidirect |
| 7. #16837630 | C2 | semidirect |
| 8. #16837629 | C2 | semidirect |
| 9. #106×D59 | C2 | semidirect |
| 10. #16837400 | C2 | semidirect |
| 11. C59×#469 | C2 | semidirect |
| 80. C8×D59 | D4 | semidirect |
| 146. #469 | D59 | semidirect |
| 151. C59 | #3060 | semidirect |