Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
170 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 43 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. #16840200 | C2 | semidirect |
| 2. #16840198 | C2 | semidirect |
| 3. #16840137 | C2 | semidirect |
| 4. #16839878 | C2 | semidirect |
| 5. #16839582 | C2 | semidirect |
| 6. #16839574 | C2 | semidirect |
| 7. C61×#361 | C2 | semidirect |
| 35. Dic244 | D4 | semidirect |
| 38. D488 | D4 | semidirect |
| 84. #361 | D61 | semidirect |
| 85. C61 | #2213 | semidirect |