Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16837885 | C2 | semidirect |
| 2. #16837723 | C2 | semidirect |
| 3. #16837723 | C2 | semidirect |
| 4. #16837718 | C2 | semidirect |
| 5. #16837713 | C2 | semidirect |
| 6. #16837445 | C2 | semidirect |
| 7. #16837438 | C2 | semidirect |
| 8. #16837407 | C2 | semidirect |
| 9. C2×#14273648 | C2 | semidirect |
| 10. #16837369 | C2 | semidirect |
| 18. #14273686 | C22 | semidirect |
| 20. C2×C4⋊Dic59 | C22 | semidirect |
| 21. #14273660 | C22 | semidirect |
| 22. #14273660 | C22 | semidirect |
| 23. #14273660 | C22 | semidirect |
| 24. #14273658 | C22 | semidirect |
| 25. #14273658 | C22 | semidirect |
| 26. #14273658 | C22 | semidirect |
| 31. C22⋊(C59⋊C8) | C22 | semidirect |
| 32. C22⋊(C59⋊C8) | C22 | semidirect |
| 146. C59 | #3096 | semidirect |