Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
556 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 556 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×#14519802 | C2 | semidirect |
| 2. D4×D244 | C2 | semidirect |
| 3. #16840138 | C2 | semidirect |
| 4. #16840013 | C2 | semidirect |
| 5. #16839962 | C2 | semidirect |
| 6. #16839954 | C2 | semidirect |
| 7. #16839907 | C2 | semidirect |
| 8. #16839895 | C2 | semidirect |
| 9. C4×#11758201 | C2 | semidirect |
| 10. #16839840 | C2 | semidirect |
| 11. C61×#550 | C2 | semidirect |
| 16. C2×#11758201 | C22 | semidirect |
| 18. C2×#11758199 | C22 | semidirect |
| 19. C2×#11758199 | C22 | semidirect |
| 20. C2×#11758194 | C22 | semidirect |
| 26. #14519708 | C22 | semidirect |
| 27. C4⋊#92418 | C22 | semidirect |
| 28. #14519701 | C22 | semidirect |
| 29. #14519698 | C22 | semidirect |
| 31. #14519697 | C22 | semidirect |
| 32. C22⋊#92418 | C22 | semidirect |
| 33. C4×#92418 | C22 | semidirect |
| 34. C2×#41×C61 | C22 | semidirect |
| 36. #127×C61 | C22 | semidirect |
| 38. #121×C61 | C22 | semidirect |
| 39. C4×Q8×C61 | C22 | semidirect |
| 72. #11758201 | D4 | semidirect |
| 91. Q8×C61 | C2×D4 | semidirect |
| 120. #92418 | C2×D4 | semidirect |
| 139. C4×C61 | AGL(1,ℤ/8) | semidirect |
| 152. #550 | D61 | semidirect |
| 162. C61 | #3274 | semidirect |
| 163. C2×#41 | C2×D61 | semidirect |
| 175. #127 | C2×D61 | semidirect |
| 179. #121 | C2×D61 | semidirect |
| 181. C4×Q8 | C2×D61 | semidirect |
| 242. Q8 | D4×D61 | semidirect |
| 291. C4 | #14519802 | semidirect |