Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 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. #16840575 | C2 | semidirect |
| 2. #16840564 | C2 | semidirect |
| 3. #16840204 | C2 | semidirect |
| 4. #16840200 | C2 | semidirect |
| 5. #16840199 | C2 | semidirect |
| 6. #16840195 | C2 | semidirect |
| 7. #16840192 | C2 | semidirect |
| 8. C2×#14519720 | C2 | semidirect |
| 9. SD32×D61 | C2 | semidirect |
| 10. #16840180 | C2 | semidirect |
| 11. C61×#510 | C2 | semidirect |
| 19. #14519800 | C22 | semidirect |
| 20. #14519799 | C22 | semidirect |
| 21. Q16×D61 | C22 | semidirect |
| 25. #14519723 | C22 | semidirect |
| 26. #14519722 | C22 | semidirect |
| 27. #14519721 | C22 | semidirect |
| 28. #14519720 | C22 | semidirect |
| 29. #14519720 | C22 | semidirect |
| 30. #14519720 | C22 | semidirect |
| 31. D976 | C22 | semidirect |
| 32. #14519718 | C22 | semidirect |
| 33. #14519716 | C22 | semidirect |
| 34. C2×#11758185 | C22 | semidirect |
| 35. C16×D61 | C22 | semidirect |
| 37. C2×Q16×C61 | C22 | semidirect |
| 38. Q32×C61 | C22 | semidirect |
| 39. SD32×C61 | C22 | semidirect |
| 40. M32×C61 | C22 | semidirect |
| 130. #510 | D61 | semidirect |
| 138. C61 | #3416 | semidirect |
| 150. C2×Q16 | C2×D61 | semidirect |
| 155. Q32 | C2×D61 | semidirect |
| 161. SD32 | C2×D61 | semidirect |
| 165. M32 | C2×D61 | semidirect |