Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
564 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 157 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×#11758200 | C2 | semidirect |
| 2. C22×C8×D61 | C2 | semidirect |
| 3. C2×#14519757 | C2 | semidirect |
| 5. #16839990 | C2 | direct (N × H) |
| 6. C2×#14519708 | C2 | semidirect |
| 7. C2×#14519702 | C2 | semidirect |
| 8. C2×#102×C61 | C2 | semidirect |
| 13. C2×#11758200 | C22 | semidirect |
| 16. C2×C8×D61 | C22 | semidirect |
| 18. #14519757 | C22 | semidirect |
| 25. #14519708 | C22 | semidirect |
| 26. #14519702 | C22 | semidirect |
| 30. #102×C61 | C22 | semidirect |
| 62. C2×#92418 | D4 | semidirect |
| 72. C22×D61 | SD16 | semidirect |
| 97. #92418 | C2×D4 | semidirect |
| 109. C2×D61 | C2×SD16 | semidirect |
| 119. C2×C61 | #465 | semidirect |
| 131. C2×#102 | D61 | semidirect |
| 132. C61 | C2×#465 | semidirect |
| 154. #102 | C2×D61 | semidirect |
| 243. C2 | #16839990 | direct (N × H) |