Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
648 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 648 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×D488 | C2 | semidirect |
| 2. C22×#11758199 | C2 | semidirect |
| 3. C2×#14519773 | C2 | semidirect |
| 4. C2×#14519739 | C2 | semidirect |
| 5. #16839956 | C2 | direct (N × H) |
| 6. C2×#14519706 | C2 | semidirect |
| 7. C2×#14519697 | C2 | semidirect |
| 8. C2×#102×C61 | C2 | semidirect |
| 15. C2×D488 | C22 | semidirect |
| 17. C2×#11758199 | C22 | semidirect |
| 20. #14519773 | C22 | semidirect |
| 22. #14519739 | C22 | semidirect |
| 25. #14519706 | C22 | semidirect |
| 26. #14519697 | C22 | semidirect |
| 30. #102×C61 | C22 | semidirect |
| 51. C2×D244 | D4 | semidirect |
| 92. C2×Dic61 | D8 | semidirect |
| 100. D244 | C2×D4 | semidirect |
| 125. Dic61 | C2×D8 | semidirect |
| 128. C2×C61 | #459 | semidirect |
| 141. C2×#102 | D61 | semidirect |
| 142. C61 | C2×#459 | semidirect |
| 164. #102 | C2×D61 | semidirect |
| 263. C2 | #16839956 | direct (N × H) |