Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic118 | C2 | semidirect |
| 3. #16837753 | C2 | semidirect |
| 4. #16837733 | C2 | semidirect |
| 5. #16837688 | C2 | semidirect |
| 6. #16837631 | C2 | semidirect |
| 7. #16837608 | C2 | semidirect |
| 8. #16837543 | C2 | semidirect |
| 9. C4×#11745660 | C2 | semidirect |
| 10. C2×#14273652 | C2 | semidirect |
| 11. C8×D4×C59 | C2 | semidirect |
| 79. D4×C59 | SD16 | semidirect |
| 102. Dic118 | #41 | semidirect |
| 138. C8×D4 | D59 | semidirect |
| 140. C59 | #3298 | semidirect |
| 217. D4 | #11745660 | semidirect |