Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
384 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16838135 | C2 | semidirect |
| 2. #16837786 | C2 | semidirect |
| 3. #16837785 | C2 | semidirect |
| 5. #16837617 | C2 | semidirect |
| 6. #16837616 | C2 | semidirect |
| 7. #16837601 | C2 | semidirect |
| 8. C8×Dic118 | C2 | semidirect |
| 9. #16837496 | C2 | semidirect |
| 10. #16837484 | C2 | semidirect |
| 11. C4×D8×C59 | C2 | semidirect |
| 131. C4×D8 | D59 | semidirect |
| 132. C59 | #3396 | semidirect |