Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14273760 | C2 | semidirect |
| 2. C2×#14273757 | C2 | semidirect |
| 3. C2×#14273753 | C2 | semidirect |
| 4. #16837948 | C2 | semidirect |
| 5. C2×#14273714 | C2 | semidirect |
| 6. #16837793 | C2 | semidirect |
| 7. #16837790 | C2 | semidirect |
| 8. #16837785 | C2 | semidirect |
| 9. #16837783 | C2 | semidirect |
| 10. M16×Dic59 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 17. C2×Dic236 | C22 | semidirect |
| 18. C2×#11745672 | C22 | semidirect |
| 19. C2×#11745660 | C22 | semidirect |
| 21. C2×#11745670 | C22 | semidirect |
| 24. #14273725 | C22 | semidirect |
| 25. #14273723 | C22 | semidirect |
| 26. #14273716 | C22 | semidirect |
| 30. #14273714 | C22 | semidirect |
| 35. #14273637 | C22 | semidirect |
| 36. C8×Dic59 | C22 | semidirect |
| 70. M16×C59 | D4 | semidirect |
| 84. #11745664 | D4 | semidirect |
| 154. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 162. C59 | #3153 | semidirect |
| 228. M16 | C22⋊D59 | semidirect |