Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #16837706 | C2 | semidirect |
| 3. #16837699 | C2 | semidirect |
| 4. #16837689 | C2 | semidirect |
| 5. #16837684 | C2 | semidirect |
| 6. #16837445 | C2 | semidirect |
| 7. C2×#14273658 | C2 | semidirect |
| 8. #16837429 | C2 | semidirect |
| 11. C59×#544 | C2 | semidirect |
| 47. #11745685 | Q8 | semidirect |
| 124. #544 | D59 | semidirect |
| 135. C59 | #3084 | semidirect |