Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
800 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 198 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. #16840829 | C2 | semidirect |
| 2. #16840742 | C2 | semidirect |
| 3. #16840741 | C2 | semidirect |
| 4. D61⋊#99 | C2 | semidirect |
| 5. C2×#14519835 | C2 | semidirect |
| 8. #14519856 | C22 | semidirect |
| 9. C2×C22⋊#6923 | C22 | semidirect |
| 10. #14519836 | C22 | semidirect |
| 11. #14519835 | C22 | semidirect |
| 12. #14519835 | C22 | semidirect |
| 14. C2×#11758222 | C4 | semidirect |
| 16. C2×#11758224 | C4 | semidirect |
| 17. C2×#11758224 | C4 | semidirect |
| 19. C22×C22⋊D61 | C4 | semidirect |
| 21. C2×D4×D61 | C4 | semidirect |
| 24. C22×D4×C61 | C4 | semidirect |
| 25. C24×C61 | C2×C4 | semidirect |
| 26. C23×D61 | C2×C4 | semidirect |
| 31. C2×D4×C61 | C2×C4 | semidirect |
| 32. C2×D4×C61 | C2×C4 | semidirect |
| 33. C22×C4×C61 | C2×C4 | semidirect |
| 37. C2×C22⋊D61 | C2×C4 | semidirect |
| 38. C2×C22⋊D61 | C2×C4 | semidirect |
| 39. C2×C22⋊D61 | C2×C4 | semidirect |
| 40. C2×C22⋊D61 | C2×C4 | semidirect |
| 43. C22×Dic61 | C2×C4 | semidirect |
| 44. C22×Dic61 | C2×C4 | semidirect |
| 55. C2×C4×D61 | C2×C4 | semidirect |
| 56. C2×C4×D61 | C2×C4 | semidirect |
| 58. C2×Dic122 | C2×C4 | semidirect |
| 59. C2×Dic122 | C2×C4 | semidirect |
| 140. C61 | #2883 | semidirect |
| 152. C22×D4 | #6923 | semidirect |
| 161. C24 | C2×#6923 | semidirect |
| 185. C2×D4 | C2×#6923 | semidirect |
| 186. C2×D4 | C2×#6923 | semidirect |
| 193. C22×C4 | C2×#6923 | semidirect |