Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16837740 | C2 | semidirect |
| 3. #16837732 | C2 | semidirect |
| 4. #16837715 | C2 | semidirect |
| 5. #16837641 | C2 | semidirect |
| 6. #16837633 | C2 | semidirect |
| 7. #16837562 | C2 | semidirect |
| 8. #16837558 | C2 | semidirect |
| 9. #16837541 | C2 | semidirect |
| 10. C2×C22⋊(C59⋊C8) | C2 | semidirect |
| 11. C2×C22⋊Q8×C59 | C2 | semidirect |
| 13. C2×#11745672 | C22 | semidirect |
| 14. C2×#11745671 | C22 | semidirect |
| 25. #14273660 | C22 | semidirect |
| 26. #14273658 | C22 | semidirect |
| 27. #14273651 | C22 | semidirect |
| 28. #14273651 | C22 | semidirect |
| 29. #14273650 | C22 | semidirect |
| 30. #14273647 | C22 | semidirect |
| 151. C2×C22⋊Q8 | D59 | semidirect |
| 161. C59 | #3190 | semidirect |