Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14519800 | C2 | semidirect |
| 2. C2×M16×D61 | C2 | semidirect |
| 3. #16840275 | C2 | semidirect |
| 4. #16840017 | C2 | semidirect |
| 5. #16840016 | C2 | semidirect |
| 6. #16840015 | C2 | semidirect |
| 7. #16840011 | C2 | semidirect |
| 8. #16840010 | C2 | semidirect |
| 9. #16839797 | C2 | semidirect |
| 10. #16839757 | C2 | semidirect |
| 11. C61×#470 | C2 | semidirect |
| 15. C2×#11758201 | C22 | semidirect |
| 16. C2×D488 | C22 | semidirect |
| 31. #14519710 | C22 | semidirect |
| 32. #14519709 | C22 | semidirect |
| 33. #14519701 | C22 | semidirect |
| 34. #14519699 | C22 | semidirect |
| 35. #14519697 | C22 | semidirect |
| 36. C2×Q16×C61 | C22 | semidirect |
| 39. #106×C61 | C22 | semidirect |
| 40. #103×C61 | C22 | semidirect |
| 80. C8×D61 | D4 | semidirect |
| 145. #470 | D61 | semidirect |
| 152. C61 | #3054 | semidirect |
| 156. C2×Q16 | C2×D61 | semidirect |
| 177. #106 | C2×D61 | semidirect |
| 179. #103 | C2×D61 | semidirect |