Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
382 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 382 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 |
|---|---|---|
| 2. #16837768 | C2 | semidirect |
| 3. #16837750 | C2 | semidirect |
| 4. #16837699 | C2 | semidirect |
| 5. #16837679 | C2 | semidirect |
| 6. #16837602 | C2 | semidirect |
| 7. #16837602 | C2 | semidirect |
| 8. #16837533 | C2 | semidirect |
| 9. #16837500 | C2 | semidirect |
| 10. C4×#11745671 | C2 | semidirect |
| 11. C59×#557 | C2 | semidirect |
| 79. Q8×C59 | #41 | semidirect |
| 125. #557 | D59 | semidirect |
| 136. C59 | #3368 | semidirect |
| 204. Q8 | #11745689 | semidirect |