Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16837806 | C2 | semidirect |
| 3. #16837777 | C2 | semidirect |
| 4. #16837747 | C2 | semidirect |
| 5. #16837638 | C2 | semidirect |
| 6. #16837636 | C2 | semidirect |
| 7. D8×Dic59 | C2 | semidirect |
| 8. #16837484 | C2 | semidirect |
| 9. #16837482 | C2 | semidirect |
| 10. C2×C8×Dic59 | C2 | semidirect |
| 11. C59×#466 | C2 | semidirect |
| 89. C2×Dic59 | D8 | semidirect |
| 99. C8×C59 | #41 | semidirect |
| 101. C59⋊C8 | #41 | semidirect |
| 134. #466 | D59 | semidirect |
| 139. C59 | #3169 | semidirect |
| 229. C8 | #11745687 | semidirect |