Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 1. #16838030 | C2 | semidirect |
| 3. #16837769 | C2 | semidirect |
| 4. #16837763 | C2 | semidirect |
| 5. #16837758 | C2 | semidirect |
| 6. #16837751 | C2 | semidirect |
| 9. C2×#14273651 | C2 | semidirect |
| 10. #16837360 | C2 | semidirect |
| 11. C59×#419 | C2 | semidirect |
| 134. #419 | D59 | semidirect |
| 139. C59 | #3137 | semidirect |