Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. #16840110 | C2 | semidirect |
| 3. #16840080 | C2 | semidirect |
| 4. #16840049 | C2 | semidirect |
| 5. #16839993 | C2 | semidirect |
| 6. #16839962 | C2 | semidirect |
| 7. #16839912 | C2 | semidirect |
| 8. C4×#11758201 | C2 | semidirect |
| 9. D4×#92418 | C2 | semidirect |
| 10. C2×#14519697 | C2 | semidirect |
| 11. C61×#554 | C2 | semidirect |
| 15. C2×#11758201 | C22 | semidirect |
| 16. C22×#92418 | C22 | semidirect |
| 22. #14519708 | C22 | semidirect |
| 23. #14519708 | C22 | semidirect |
| 24. C4⋊#92418 | C22 | semidirect |
| 25. #14519701 | C22 | semidirect |
| 28. #14519697 | C22 | semidirect |
| 29. #14519697 | C22 | semidirect |
| 30. #14519697 | C22 | semidirect |
| 31. C22⋊#92418 | C22 | semidirect |
| 32. C4×#92418 | C22 | semidirect |
| 33. C4⋊Q8×C61 | C22 | semidirect |
| 36. C22⋊Q8×C61 | C22 | semidirect |
| 37. C4×Q8×C61 | C22 | semidirect |
| 40. C2×C4⋊C4×C61 | C22 | semidirect |
| 86. D4×C61 | SD16 | semidirect |
| 137. #554 | D61 | semidirect |
| 148. C61 | #3295 | semidirect |
| 154. C4⋊Q8 | C2×D61 | semidirect |
| 158. C22⋊Q8 | C2×D61 | semidirect |
| 162. C4×Q8 | C2×D61 | semidirect |
| 166. C2×C4⋊C4 | C2×D61 | semidirect |
| 231. D4 | #11758201 | semidirect |