Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #16840243 | C2 | semidirect |
| 3. C2×#14519703 | C2 | semidirect |
| 4. #16839768 | C2 | semidirect |
| 5. #16839663 | C2 | semidirect |
| 6. #16839523 | C2 | semidirect |
| 7. C61×#343 | C2 | semidirect |
| 11. #14519805 | C4 | semidirect |
| 42. C2×D244 | C2×C4 | semidirect |
| 50. M16×C61 | C2×C4 | semidirect |
| 95. D244 | C22⋊C4 | semidirect |
| 100. Dic122 | C22⋊C4 | semidirect |
| 138. #343 | D61 | semidirect |
| 140. C61 | #1883 | semidirect |
| 185. M16 | C4×D61 | semidirect |