Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
364 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14519796 | C2 | semidirect |
| 2. #135×D61 | C2 | semidirect |
| 3. #16840205 | C2 | semidirect |
| 4. #16840202 | C2 | semidirect |
| 5. #16840201 | C2 | semidirect |
| 6. #16840198 | C2 | semidirect |
| 7. #16840196 | C2 | semidirect |
| 8. #16840193 | C2 | semidirect |
| 9. #16840191 | C2 | semidirect |
| 10. M32×D61 | C2 | semidirect |
| 11. C61×#509 | C2 | semidirect |
| 14. #14519800 | C22 | semidirect |
| 21. #14519796 | C22 | semidirect |
| 22. #14519796 | C22 | semidirect |
| 23. C2×Dic244 | C22 | semidirect |
| 24. Q16×D61 | C22 | semidirect |
| 27. D8×D61 | C22 | semidirect |
| 29. Dic488 | C22 | semidirect |
| 30. #14519723 | C22 | semidirect |
| 31. #14519722 | C22 | semidirect |
| 32. #14519721 | C22 | semidirect |
| 33. #14519721 | C22 | semidirect |
| 34. #14519718 | C22 | semidirect |
| 35. #14519717 | C22 | semidirect |
| 36. #14519716 | C22 | semidirect |
| 37. C16×D61 | C22 | semidirect |
| 39. C2×D8×C61 | C22 | semidirect |
| 40. SD32×C61 | C22 | semidirect |
| 41. D16×C61 | C22 | semidirect |
| 42. M32×C61 | C22 | semidirect |
| 154. #509 | D61 | semidirect |
| 158. C61 | #3414 | semidirect |
| 176. C2×D8 | C2×D61 | semidirect |
| 183. SD32 | C2×D61 | semidirect |
| 185. D16 | C2×D61 | semidirect |
| 188. M32 | C2×D61 | semidirect |