Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 189 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 |
|---|---|---|
| 2. C2×#14273733 | C2 | semidirect |
| 3. #16837520 | C2 | direct (N × H) |
| 4. C2×#14273663 | C2 | semidirect |
| 5. C2×#14273655 | C2 | semidirect |
| 6. C2×C4×C8×C59 | C2 | semidirect |
| 8. #14273749 | C4 | semidirect |
| 10. C2×Dic236 | C4 | semidirect |
| 11. C2×#11745660 | C4 | semidirect |
| 12. C2×D472 | C4 | semidirect |
| 14. #14273733 | C22 | semidirect |
| 18. #14273663 | C22 | semidirect |
| 19. #14273655 | C22 | semidirect |
| 23. C4×C8×C59 | C22 | semidirect |
| 47. Dic236 | C2×C4 | semidirect |
| 48. D472 | C2×C4 | semidirect |
| 49. #11745660 | C2×C4 | semidirect |
| 91. C2×C59 | #443 | semidirect |
| 99. C2×C4×C8 | D59 | semidirect |
| 100. C59 | C2×#443 | semidirect |
| 117. C4×C8 | C2×D59 | semidirect |
| 185. C2 | #16837520 | direct (N × H) |