Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16838116 | C2 | semidirect |
| 2. #16837806 | C2 | semidirect |
| 3. #16837725 | C2 | semidirect |
| 4. #16837723 | C2 | semidirect |
| 5. #16837690 | C2 | semidirect |
| 6. #16837635 | C2 | semidirect |
| 7. D8×Dic59 | C2 | semidirect |
| 8. C8×C22⋊D59 | C2 | semidirect |
| 9. #16837440 | C2 | semidirect |
| 10. #16837439 | C2 | semidirect |
| 11. C59×#466 | C2 | semidirect |
| 127. #466 | D59 | semidirect |
| 132. C59 | #3341 | semidirect |