Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 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. #16840393 | C2 | semidirect |
| 3. #16840065 | C2 | semidirect |
| 4. #16840061 | C2 | semidirect |
| 5. #16840051 | C2 | semidirect |
| 6. #16840041 | C2 | semidirect |
| 7. #16839798 | C2 | semidirect |
| 8. #16839790 | C2 | semidirect |
| 11. C61×#428 | C2 | semidirect |
| 15. #14519776 | C22 | semidirect |
| 17. #14519768 | C22 | semidirect |
| 26. #14519710 | C22 | semidirect |
| 27. #14519710 | C22 | semidirect |
| 28. #14519708 | C22 | semidirect |
| 29. #14519708 | C22 | semidirect |
| 30. #14519706 | C22 | semidirect |
| 31. #14519706 | C22 | semidirect |
| 39. #107×C61 | C22 | semidirect |
| 40. #106×C61 | C22 | semidirect |
| 46. C2×D244 | Q8 | semidirect |
| 131. #428 | D61 | semidirect |
| 136. C61 | #3081 | semidirect |
| 156. #107 | C2×D61 | semidirect |
| 159. #106 | C2×D61 | semidirect |