Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14273718 | C2 | semidirect |
| 3. #16837810 | C2 | semidirect |
| 4. #16837765 | C2 | semidirect |
| 5. #16837721 | C2 | semidirect |
| 6. #16837718 | C2 | semidirect |
| 7. #16837715 | C2 | semidirect |
| 8. #16837705 | C2 | semidirect |
| 9. #16837704 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 11. C59×#480 | C2 | semidirect |
| 142. #480 | D59 | semidirect |
| 146. C59 | #3234 | semidirect |