Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 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. #16837978 | C2 | semidirect |
| 2. #16837789 | C2 | semidirect |
| 3. #16837774 | C2 | semidirect |
| 4. #16837772 | C2 | semidirect |
| 5. #16837759 | C2 | semidirect |
| 6. #16837617 | C2 | semidirect |
| 7. #16837607 | C2 | semidirect |
| 8. #16837545 | C2 | semidirect |
| 9. #16837540 | C2 | semidirect |
| 10. #16837463 | C2 | semidirect |
| 11. C59×#540 | C2 | semidirect |
| 121. #540 | D59 | semidirect |
| 132. C59 | #3221 | semidirect |