Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
458 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 185 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. #16838168 | C2 | semidirect |
| 3. #16837525 | C2 | semidirect |
| 4. #16837520 | C2 | semidirect |
| 5. #16837451 | C2 | semidirect |
| 6. C2×#14273655 | C2 | semidirect |
| 7. C4×M16×C59 | C2 | semidirect |
| 9. #14273760 | C4 | semidirect |
| 10. #14273755 | C4 | semidirect |
| 13. #14273733 | C22 | semidirect |
| 16. #14273663 | C22 | semidirect |
| 17. #14273655 | C22 | semidirect |
| 18. #14273655 | C22 | semidirect |
| 22. #97×C59 | C22 | semidirect |
| 23. C4×C8×C59 | C22 | semidirect |
| 44. Dic236 | C2×C4 | semidirect |
| 45. D472 | C2×C4 | semidirect |
| 46. #11745660 | C2×C4 | semidirect |
| 92. C4×M16 | D59 | semidirect |
| 93. C59 | #2956 | semidirect |
| 108. #97 | C2×D59 | semidirect |
| 109. C4×C8 | C2×D59 | semidirect |