Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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×#14273692 | C2 | semidirect |
| 3. #16837715 | C2 | semidirect |
| 4. #16837696 | C2 | semidirect |
| 5. #16837601 | C2 | semidirect |
| 6. #16837543 | C2 | semidirect |
| 7. #16837540 | C2 | semidirect |
| 8. #16837501 | C2 | semidirect |
| 9. #16837499 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 11. C59×#480 | C2 | semidirect |
| 111. Dic118 | #41 | semidirect |
| 144. #480 | D59 | semidirect |
| 152. C59 | #3112 | semidirect |