Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
426 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16838073 | C2 | semidirect |
| 2. D4×Dic118 | C2 | semidirect |
| 3. #16837749 | C2 | semidirect |
| 4. #16837747 | C2 | semidirect |
| 5. #16837682 | C2 | semidirect |
| 6. #16837681 | C2 | semidirect |
| 7. #16837597 | C2 | semidirect |
| 8. #16837595 | C2 | semidirect |
| 9. C8×Dic118 | C2 | semidirect |
| 10. #16837482 | C2 | semidirect |
| 11. C4×D8×C59 | C2 | semidirect |
| 81. D4×C59 | #41 | semidirect |
| 102. Dic118 | D8 | semidirect |
| 142. C4×D8 | D59 | semidirect |
| 143. C59 | #3358 | semidirect |
| 222. D4 | #11745685 | semidirect |