Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16838014 | C2 | semidirect |
| 2. #16837797 | C2 | semidirect |
| 3. #16837774 | C2 | semidirect |
| 4. #16837766 | C2 | semidirect |
| 5. #16837756 | C2 | semidirect |
| 6. #16837621 | C2 | semidirect |
| 7. #16837599 | C2 | semidirect |
| 8. #16837564 | C2 | semidirect |
| 9. #16837553 | C2 | semidirect |
| 10. #16837463 | C2 | semidirect |
| 12. C2×#11745672 | C22 | semidirect |
| 15. C2×#11745670 | C22 | semidirect |
| 16. #14273727 | C22 | semidirect |
| 18. #14273719 | C22 | semidirect |
| 21. C4×Dic118 | C22 | semidirect |
| 22. C4⋊(C59⋊C8) | C22 | semidirect |
| 23. #14273651 | C22 | semidirect |
| 26. #14273648 | C22 | semidirect |
| 28. #14273638 | C22 | semidirect |
| 29. C4×C59⋊C8 | C22 | semidirect |
| 134. C59 | #3222 | semidirect |