Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
812 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11758226 | C2 | semidirect |
| 2. C22×#11758199 | C2 | semidirect |
| 3. C2×#14519748 | C2 | semidirect |
| 4. #16839906 | C2 | direct (N × H) |
| 5. C2×#14519701 | C2 | semidirect |
| 6. C2×#14519699 | C2 | semidirect |
| 7. C2×#14519689 | C2 | semidirect |
| 8. C22×SD16×C61 | C2 | semidirect |
| 12. C2×#11758226 | C22 | semidirect |
| 19. C2×#11758199 | C22 | semidirect |
| 22. #14519748 | C22 | semidirect |
| 25. #14519701 | C22 | semidirect |
| 26. #14519699 | C22 | semidirect |
| 27. #14519689 | C22 | semidirect |
| 31. C2×SD16×C61 | C22 | semidirect |
| 38. C2×Q8×C61 | D4 | semidirect |
| 57. C2×D244 | D4 | semidirect |
| 89. Q8×C61 | C2×D4 | semidirect |
| 107. D244 | C2×D4 | semidirect |
| 138. C2×C61 | #449 | semidirect |
| 145. C22×SD16 | D61 | semidirect |
| 152. C61 | C2×#449 | semidirect |
| 165. C2×SD16 | C2×D61 | semidirect |
| 185. C2×Q8 | C22⋊D61 | semidirect |
| 233. Q8 | C2×C22⋊D61 | semidirect |
| 283. C2 | #16839906 | direct (N × H) |