Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840416 | C2 | semidirect |
| 2. #16840112 | C2 | semidirect |
| 3. #16840095 | C2 | semidirect |
| 4. #16840042 | C2 | semidirect |
| 5. #16840010 | C2 | semidirect |
| 6. #16839964 | C2 | semidirect |
| 7. #16839907 | C2 | semidirect |
| 8. C4×#11758199 | C2 | semidirect |
| 9. #16839840 | C2 | semidirect |
| 10. #16839763 | C2 | semidirect |
| 11. C61×#547 | C2 | semidirect |
| 85. D4×C61 | #41 | semidirect |
| 134. #547 | D61 | semidirect |
| 144. C61 | #3330 | semidirect |
| 222. D4 | #11758224 | semidirect |