Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14519799 | C2 | semidirect |
| 2. #16840433 | C2 | semidirect |
| 3. #16840417 | C2 | semidirect |
| 4. #16840135 | C2 | semidirect |
| 5. #16839991 | C2 | semidirect |
| 6. #16839973 | C2 | semidirect |
| 7. #16839958 | C2 | semidirect |
| 8. #16839926 | C2 | semidirect |
| 9. #16839909 | C2 | semidirect |
| 10. C4×#11758190 | C2 | semidirect |
| 11. C8×D4×C61 | C2 | semidirect |
| 81. #11758190 | D4 | semidirect |
| 127. C4×C61 | #135 | semidirect |
| 151. C8×D4 | D61 | semidirect |
| 152. C61 | #3284 | semidirect |
| 272. C4 | #14519799 | semidirect |