Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 115 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. #135×D61 | C2 | semidirect |
| 2. C2×D8×D61 | C2 | semidirect |
| 3. #16840200 | C2 | semidirect |
| 4. #16840199 | C2 | semidirect |
| 5. #16840198 | C2 | semidirect |
| 6. #16840197 | C2 | semidirect |
| 7. #16840196 | C2 | semidirect |
| 8. SD32×D61 | C2 | semidirect |
| 9. D16×D61 | C2 | semidirect |
| 10. M32×D61 | C2 | semidirect |
| 11. C61×#509 | C2 | semidirect |
| 14. #14519800 | C22 | semidirect |
| 15. #14519799 | C22 | semidirect |
| 18. #14519796 | C22 | semidirect |
| 19. Q16×D61 | C22 | semidirect |
| 21. C2×D488 | C22 | semidirect |
| 26. D8×D61 | C22 | semidirect |
| 27. D8×D61 | C22 | semidirect |
| 29. #14519722 | C22 | semidirect |
| 30. #14519721 | C22 | semidirect |
| 31. #14519720 | C22 | semidirect |
| 32. D976 | C22 | semidirect |
| 33. #14519718 | C22 | semidirect |
| 34. #14519718 | C22 | semidirect |
| 35. #14519717 | C22 | semidirect |
| 36. #14519716 | C22 | semidirect |
| 37. C16×D61 | C22 | semidirect |
| 38. #135×C61 | C22 | semidirect |
| 39. C2×D8×C61 | C22 | semidirect |
| 40. SD32×C61 | C22 | semidirect |
| 41. D16×C61 | C22 | semidirect |
| 42. M32×C61 | C22 | semidirect |
| 62. Q16×C61 | C23 | semidirect |
| 66. D8×C61 | C23 | semidirect |
| 75. Dic244 | C23 | semidirect |
| 78. D488 | C23 | semidirect |
| 84. C16×C61 | C23 | semidirect |
| 85. #11758185 | C23 | semidirect |
| 151. D61 | #509 | direct (N × H) |
| 159. #509 | D61 | direct (N × H) |
| 163. C61 | C2×#509 | semidirect |
| 171. #135 | C2×D61 | semidirect |
| 181. C2×D8 | C2×D61 | semidirect |
| 186. SD32 | C2×D61 | semidirect |
| 190. D16 | C2×D61 | semidirect |
| 193. M32 | C2×D61 | semidirect |
| 216. Q16 | C22×D61 | semidirect |
| 229. D8 | C22×D61 | semidirect |
| 237. C16 | C22×D61 | semidirect |