Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 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 |
|---|---|---|
| 1. #16837947 | C2 | semidirect |
| 2. #16837799 | C2 | semidirect |
| 3. #16837777 | C2 | semidirect |
| 4. #16837747 | C2 | semidirect |
| 5. #16837655 | C2 | semidirect |
| 6. #16837653 | C2 | semidirect |
| 7. #16837514 | C2 | semidirect |
| 8. #16837513 | C2 | semidirect |
| 9. #16837511 | C2 | semidirect |
| 10. M16×Dic59 | C2 | semidirect |
| 11. C59×#469 | C2 | semidirect |
| 94. C8×C59 | #41 | semidirect |
| 96. C59⋊C8 | #41 | semidirect |
| 125. #469 | D59 | semidirect |
| 130. C59 | #3184 | semidirect |
| 215. C8 | #11745687 | semidirect |