Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 3. #16837800 | C2 | semidirect |
| 4. #16837741 | C2 | semidirect |
| 5. #16837731 | C2 | semidirect |
| 6. #16837697 | C2 | semidirect |
| 7. #16837687 | C2 | semidirect |
| 8. #16837657 | C2 | semidirect |
| 10. #16837443 | C2 | semidirect |
| 11. C4×Q16×C59 | C2 | semidirect |
| 125. C4×Q16 | D59 | semidirect |
| 128. C59 | #3356 | semidirect |