Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
370 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16838005 | C2 | semidirect |
| 2. #16837705 | C2 | semidirect |
| 3. #16837700 | C2 | semidirect |
| 4. #16837653 | C2 | semidirect |
| 5. #16837638 | C2 | semidirect |
| 6. #16837596 | C2 | semidirect |
| 7. #16837595 | C2 | semidirect |
| 8. #16837428 | C2 | semidirect |
| 9. C59×#466 | C2 | semidirect |
| 117. #466 | D59 | semidirect |
| 121. C59 | #3259 | semidirect |