Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
424 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. C2×Q8×Dic59 | C2 | semidirect |
| 3. #16837716 | C2 | semidirect |
| 4. #16837713 | C2 | semidirect |
| 5. #16837695 | C2 | semidirect |
| 6. #16837600 | C2 | semidirect |
| 7. #16837541 | C2 | semidirect |
| 8. #16837505 | C2 | semidirect |
| 9. #16837503 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 11. C59×#448 | C2 | semidirect |
| 87. Q8×C59 | #41 | semidirect |
| 148. #448 | D59 | semidirect |
| 152. C59 | #3112 | semidirect |
| 229. Q8 | #11745687 | semidirect |