Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
792 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 173 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×Q8×D61 | C2 | semidirect |
| 2. C22×#11758200 | C2 | semidirect |
| 4. #16839899 | C2 | direct (N × H) |
| 5. C2×#14519702 | C2 | semidirect |
| 6. C2×#14519701 | C2 | semidirect |
| 7. C2×#14519689 | C2 | semidirect |
| 8. C22×SD16×C61 | C2 | semidirect |
| 14. C2×Q8×D61 | C22 | semidirect |
| 19. C2×#11758200 | C22 | semidirect |
| 25. #14519702 | C22 | semidirect |
| 26. #14519701 | C22 | semidirect |
| 27. #14519689 | C22 | semidirect |
| 31. C2×SD16×C61 | C22 | semidirect |
| 37. C2×Q8×C61 | D4 | semidirect |
| 63. C2×Dic122 | D4 | semidirect |
| 81. C22×D61 | SD16 | semidirect |
| 85. Q8×C61 | C2×D4 | semidirect |
| 109. Dic122 | C2×D4 | semidirect |
| 123. C2×D61 | C2×SD16 | semidirect |
| 133. C2×C61 | #448 | semidirect |
| 140. C22×SD16 | D61 | semidirect |
| 146. C61 | C2×#448 | semidirect |
| 161. C2×SD16 | C2×D61 | semidirect |
| 184. C2×Q8 | C22⋊D61 | semidirect |
| 227. Q8 | C2×C22⋊D61 | semidirect |
| 271. C2 | #16839899 | direct (N × H) |