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 |
|---|---|---|
| 1. #16838033 | C2 | semidirect |
| 3. #16837707 | C2 | semidirect |
| 4. #16837704 | C2 | semidirect |
| 5. #16837695 | C2 | semidirect |
| 6. #16837680 | C2 | semidirect |
| 7. #16837444 | C2 | semidirect |
| 8. C2×#14273660 | C2 | semidirect |
| 9. #16837430 | C2 | semidirect |
| 42. #41×C59 | Q8 | semidirect |
| 135. C59 | #3083 | semidirect |
| 166. #41 | Dic118 | semidirect |