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. #16838125 | C2 | semidirect |
| 2. #16837764 | C2 | semidirect |
| 3. #16837754 | C2 | semidirect |
| 4. #16837694 | C2 | semidirect |
| 5. #16837679 | C2 | semidirect |
| 7. #16837607 | C2 | semidirect |
| 8. #16837533 | C2 | semidirect |
| 9. #16837502 | C2 | semidirect |
| 11. D4×Q8×C59 | C2 | semidirect |
| 124. D4×Q8 | D59 | semidirect |
| 134. C59 | #3367 | semidirect |