Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837934 | C2 | semidirect |
| 2. #16837803 | C2 | semidirect |
| 3. #16837785 | C2 | semidirect |
| 4. #16837755 | C2 | semidirect |
| 5. #16837644 | C2 | semidirect |
| 7. #16837630 | C2 | semidirect |
| 8. C4×Dic236 | C2 | semidirect |
| 9. C4×#11745670 | C2 | semidirect |
| 10. C4×C8×D59 | C2 | semidirect |
| 11. C4×D8×C59 | C2 | semidirect |
| 128. C4×D8 | D59 | semidirect |
| 130. C59 | #3168 | semidirect |