Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 2. C2×Q16×D61 | C2 | semidirect |
| 3. #16840205 | C2 | semidirect |
| 4. #16840204 | C2 | semidirect |
| 5. #16840203 | C2 | semidirect |
| 6. #16840202 | C2 | semidirect |
| 7. #16840201 | C2 | semidirect |
| 8. Q32×D61 | C2 | semidirect |
| 9. SD32×D61 | C2 | semidirect |
| 10. M32×D61 | C2 | semidirect |
| 11. C61×#510 | C2 | semidirect |
| 19. C2×Dic244 | C22 | semidirect |
| 25. Q16×D61 | C22 | semidirect |
| 29. Dic488 | C22 | semidirect |
| 30. #14519723 | C22 | semidirect |
| 31. #14519723 | C22 | semidirect |
| 32. #14519722 | C22 | semidirect |
| 33. #14519721 | C22 | semidirect |
| 34. #14519720 | C22 | semidirect |
| 35. #14519717 | C22 | semidirect |
| 36. #14519716 | C22 | semidirect |
| 39. C2×Q16×C61 | C22 | semidirect |
| 40. Q32×C61 | C22 | semidirect |
| 41. SD32×C61 | C22 | semidirect |
| 42. M32×C61 | C22 | semidirect |
| 144. D61 | #510 | direct (N × H) |
| 152. #510 | D61 | direct (N × H) |
| 156. C61 | C2×#510 | semidirect |
| 172. C2×Q16 | C2×D61 | semidirect |
| 179. Q32 | C2×D61 | semidirect |
| 183. SD32 | C2×D61 | semidirect |
| 186. M32 | C2×D61 | semidirect |