Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
466 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 121 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×#14273701 | C2 | semidirect |
| 2. #16837730 | C2 | semidirect |
| 3. #16837726 | C2 | semidirect |
| 4. #16837713 | C2 | semidirect |
| 5. #16837653 | C2 | semidirect |
| 6. #16837650 | C2 | semidirect |
| 7. #16837552 | C2 | semidirect |
| 8. #16837547 | C2 | semidirect |
| 9. #16837535 | C2 | semidirect |
| 10. #16837366 | C2 | semidirect |
| 11. C59×#525 | C2 | semidirect |
| 14. C2×#11745671 | C22 | semidirect |
| 15. C2×#11745669 | C22 | semidirect |
| 16. C2×#11745664 | C22 | semidirect |
| 23. #14273660 | C22 | semidirect |
| 24. #14273658 | C22 | semidirect |
| 25. #14273651 | C22 | semidirect |
| 26. #14273648 | C22 | semidirect |
| 27. #14273647 | C22 | semidirect |
| 28. #14273647 | C22 | semidirect |
| 31. C22⋊(C59⋊C8) | C22 | semidirect |
| 32. C2×#41×C59 | C22 | semidirect |
| 36. C22⋊Q8×C59 | C22 | semidirect |
| 38. #121×C59 | C22 | semidirect |
| 42. #117×C59 | C22 | semidirect |
| 159. #525 | D59 | semidirect |
| 170. C59 | #3194 | semidirect |
| 171. C2×#41 | C2×D59 | semidirect |
| 180. C22⋊Q8 | C2×D59 | semidirect |
| 186. #121 | C2×D59 | semidirect |
| 190. #117 | C2×D59 | semidirect |