Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
448 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16837750 | C2 | semidirect |
| 3. #16837726 | C2 | semidirect |
| 4. #16837679 | C2 | semidirect |
| 5. #16837650 | C2 | semidirect |
| 6. #16837602 | C2 | semidirect |
| 7. #16837552 | C2 | semidirect |
| 8. C4×#11745671 | C2 | semidirect |
| 9. #16837480 | C2 | semidirect |
| 10. #16837406 | C2 | semidirect |
| 11. C59×#556 | C2 | semidirect |
| 15. C2×#11745671 | C22 | semidirect |
| 16. C2×#11745664 | C22 | semidirect |
| 22. #14273660 | C22 | semidirect |
| 23. #14273658 | C22 | semidirect |
| 24. C4⋊(C59⋊C8) | C22 | semidirect |
| 25. #14273651 | C22 | semidirect |
| 28. #14273647 | C22 | semidirect |
| 29. #14273647 | C22 | semidirect |
| 30. #14273647 | C22 | semidirect |
| 31. C22⋊(C59⋊C8) | C22 | semidirect |
| 32. C4×C59⋊C8 | C22 | semidirect |
| 33. C4⋊Q8×C59 | C22 | semidirect |
| 36. C22⋊Q8×C59 | C22 | semidirect |
| 38. C4×Q8×C59 | C22 | semidirect |
| 40. #117×C59 | C22 | semidirect |
| 136. #556 | D59 | semidirect |
| 147. C59 | #3324 | semidirect |
| 153. C4⋊Q8 | C2×D59 | semidirect |
| 157. C22⋊Q8 | C2×D59 | semidirect |
| 162. C4×Q8 | C2×D59 | semidirect |
| 165. #117 | C2×D59 | semidirect |