Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#14273758 | C2 | semidirect |
| 2. C2×#14273753 | C2 | semidirect |
| 3. C2×#14273749 | C2 | semidirect |
| 4. #16837976 | C2 | semidirect |
| 5. #16837969 | C2 | semidirect |
| 6. #16837793 | C2 | semidirect |
| 7. #16837788 | C2 | semidirect |
| 8. #16837783 | C2 | semidirect |
| 9. #16837773 | C2 | semidirect |
| 10. #16837357 | C2 | semidirect |
| 11. C22×SD16×C59 | C2 | semidirect |
| 17. C2×Dic236 | C22 | semidirect |
| 18. C2×#11745672 | C22 | semidirect |
| 19. C2×#11745660 | C22 | semidirect |
| 20. C2×#11745660 | C22 | semidirect |
| 22. C2×#11745671 | C22 | semidirect |
| 23. C2×D472 | C22 | semidirect |
| 26. #14273725 | C22 | semidirect |
| 28. #14273716 | C22 | semidirect |
| 35. #14273637 | C22 | semidirect |
| 36. C8×Dic59 | C22 | semidirect |
| 69. C2×C8×C59 | D4 | semidirect |
| 82. #11745664 | D4 | semidirect |
| 152. C22×SD16 | D59 | semidirect |
| 160. C59 | #3154 | semidirect |
| 228. C2×C8 | C22⋊D59 | semidirect |