Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16838112 | C2 | semidirect |
| 2. #16837805 | C2 | semidirect |
| 3. #16837801 | C2 | semidirect |
| 4. #16837702 | C2 | semidirect |
| 5. #16837699 | C2 | semidirect |
| 6. #16837692 | C2 | semidirect |
| 7. #16837689 | C2 | semidirect |
| 8. Q8×C59⋊C8 | C2 | semidirect |
| 11. C59×#554 | C2 | semidirect |
| 61. #11745669 | Q8 | semidirect |
| 121. #554 | D59 | semidirect |
| 131. C59 | #3380 | semidirect |