Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
398 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16838057 | C2 | semidirect |
| 2. #16837754 | C2 | semidirect |
| 3. #16837743 | C2 | semidirect |
| 4. #16837689 | C2 | semidirect |
| 5. #16837629 | C2 | semidirect |
| 6. #16837607 | C2 | semidirect |
| 7. #16837545 | C2 | semidirect |
| 8. C4×#11745669 | C2 | semidirect |
| 9. D4×C59⋊C8 | C2 | semidirect |
| 10. #16837396 | C2 | semidirect |
| 11. C59×#555 | C2 | semidirect |
| 131. #555 | D59 | semidirect |
| 142. C59 | #3303 | semidirect |