Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 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×#14519800 | C2 | semidirect |
| 2. C22×C8×D61 | C2 | semidirect |
| 3. #16840275 | C2 | semidirect |
| 4. #16840000 | C2 | semidirect |
| 5. #16839999 | C2 | semidirect |
| 6. #16839998 | C2 | semidirect |
| 7. #16839994 | C2 | semidirect |
| 8. #16839993 | C2 | semidirect |
| 9. #16839799 | C2 | semidirect |
| 10. #16839757 | C2 | semidirect |
| 11. C61×#467 | C2 | semidirect |
| 15. C2×#11758201 | C22 | semidirect |
| 16. C2×D488 | C22 | semidirect |
| 31. #14519711 | C22 | semidirect |
| 32. #14519708 | C22 | semidirect |
| 33. #14519701 | C22 | semidirect |
| 34. #14519699 | C22 | semidirect |
| 35. #14519697 | C22 | semidirect |
| 36. C2×Q16×C61 | C22 | semidirect |
| 39. #107×C61 | C22 | semidirect |
| 40. #103×C61 | C22 | semidirect |
| 80. C8×D61 | D4 | semidirect |
| 118. C22×C61 | #135 | semidirect |
| 129. C2×D61 | #135 | semidirect |
| 150. #467 | D61 | semidirect |
| 157. C61 | #3050 | semidirect |
| 161. C2×Q16 | C2×D61 | semidirect |
| 181. #107 | C2×D61 | semidirect |
| 184. #103 | C2×D61 | semidirect |
| 274. C22 | #14519800 | semidirect |