Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 526 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×#14273753 | C2 | semidirect |
| 2. C22×#11745669 | C2 | semidirect |
| 3. #16837971 | C2 | semidirect |
| 4. #16837617 | C2 | semidirect |
| 5. #16837597 | C2 | semidirect |
| 6. #16837429 | C2 | semidirect |
| 7. #16837406 | C2 | semidirect |
| 8. #16837396 | C2 | semidirect |
| 9. C59×#518 | C2 | semidirect |
| 13. C2×#11745670 | C22 | semidirect |
| 16. C2×#11745669 | C22 | semidirect |
| 19. #14273724 | C22 | semidirect |
| 20. #14273715 | C22 | semidirect |
| 23. C4⋊(C59⋊C8) | C22 | semidirect |
| 24. #14273650 | C22 | semidirect |
| 25. #14273647 | C22 | semidirect |
| 26. #14273647 | C22 | semidirect |
| 29. C4×D4×C59 | C22 | semidirect |
| 37. C2×D4×C59 | D4 | semidirect |
| 125. #518 | D59 | semidirect |
| 131. C59 | #3041 | semidirect |
| 147. C4×D4 | C2×D59 | semidirect |
| 169. C2×D4 | D236 | semidirect |