Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 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 |
|---|---|---|
| 3. #16863740 | C2 | semidirect |
| 4. #16863736 | C2 | semidirect |
| 5. #16863732 | C2 | semidirect |
| 6. #16863729 | C2 | semidirect |
| 7. #16863726 | C2 | semidirect |
| 8. #16863435 | C2 | semidirect |
| 9. #16863403 | C2 | semidirect |
| 11. #483×C67 | C2 | semidirect |
| 30. #14523977 | C22 | semidirect |
| 31. #14523976 | C22 | semidirect |
| 32. #14523974 | C22 | semidirect |
| 33. #14523968 | C22 | semidirect |
| 34. #14523967 | C22 | semidirect |
| 35. #14523966 | C22 | semidirect |
| 40. #106×C67 | C22 | semidirect |
| 41. #103×C67 | C22 | semidirect |
| 140. C67 | #3095 | semidirect |
| 148. #483 | D67 | semidirect |
| 175. #106 | C2×D67 | semidirect |
| 179. #103 | C2×D67 | semidirect |