Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
366 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16837808 | C2 | semidirect |
| 3. #16837794 | C2 | semidirect |
| 4. #16837770 | C2 | semidirect |
| 5. #16837764 | C2 | semidirect |
| 6. #16837641 | C2 | semidirect |
| 8. #16837507 | C2 | semidirect |
| 9. #16837500 | C2 | semidirect |
| 10. C2×#14273638 | C2 | semidirect |
| 11. C59×#533 | C2 | semidirect |
| 130. #533 | D59 | semidirect |
| 141. C59 | #3181 | semidirect |