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×#14519798 | C2 | semidirect |
| 2. #16840434 | C2 | semidirect |
| 3. #16840416 | C2 | semidirect |
| 4. #16840135 | C2 | semidirect |
| 5. #16839992 | C2 | semidirect |
| 6. #16839972 | C2 | semidirect |
| 7. #16839957 | C2 | semidirect |
| 8. #16839927 | C2 | semidirect |
| 9. #16839908 | C2 | semidirect |
| 10. C8×D244 | C2 | semidirect |
| 11. C4×SD16×C61 | C2 | semidirect |
| 60. SD16×C61 | D4 | semidirect |
| 129. C4×C61 | #135 | semidirect |
| 150. C4×SD16 | D61 | semidirect |
| 152. C61 | #3284 | semidirect |
| 204. SD16 | D244 | semidirect |
| 272. C4 | #14519798 | semidirect |