Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
408 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16838117 | C2 | semidirect |
| 2. #16838074 | C2 | semidirect |
| 3. #16837749 | C2 | semidirect |
| 4. #16837728 | C2 | semidirect |
| 5. #16837697 | C2 | semidirect |
| 6. #16837637 | C2 | semidirect |
| 7. #16837597 | C2 | semidirect |
| 8. #16837546 | C2 | semidirect |
| 9. C8×D236 | C2 | semidirect |
| 10. #16837397 | C2 | semidirect |
| 11. C4×SD16×C59 | C2 | semidirect |
| 141. C4×SD16 | D59 | semidirect |
| 144. C59 | #3305 | semidirect |