Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #16838024 | C2 | semidirect |
| 2. #16837806 | C2 | semidirect |
| 3. #16837787 | C2 | semidirect |
| 4. #16837763 | C2 | semidirect |
| 5. #16837651 | C2 | semidirect |
| 6. #16837640 | C2 | semidirect |
| 8. #16837500 | C2 | semidirect |
| 9. C4×D472 | C2 | semidirect |
| 10. #16837356 | C2 | semidirect |
| 11. C4×Q16×C59 | C2 | semidirect |
| 126. C4×Q16 | D59 | semidirect |
| 129. C59 | #3175 | semidirect |