Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
368 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 115 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. #135×D61 | C2 | semidirect |
| 2. #16840195 | C2 | semidirect |
| 3. #16840194 | C2 | semidirect |
| 4. #16840193 | C2 | semidirect |
| 5. #16840192 | C2 | semidirect |
| 6. #16840191 | C2 | semidirect |
| 7. Q32×D61 | C2 | semidirect |
| 8. SD32×D61 | C2 | semidirect |
| 9. D16×D61 | C2 | semidirect |
| 10. C2×C16×D61 | C2 | semidirect |
| 11. C61×#508 | C2 | semidirect |
| 13. #14519800 | C22 | semidirect |
| 14. #14519799 | C22 | semidirect |
| 17. #14519796 | C22 | semidirect |
| 22. Dic488 | C22 | semidirect |
| 23. #14519723 | C22 | semidirect |
| 24. #14519722 | C22 | semidirect |
| 25. #14519721 | C22 | semidirect |
| 26. #14519720 | C22 | semidirect |
| 27. D976 | C22 | semidirect |
| 28. #14519718 | C22 | semidirect |
| 29. C2×#11758185 | C22 | semidirect |
| 32. C16×D61 | C22 | semidirect |
| 33. C16×D61 | C22 | semidirect |
| 34. #135×C61 | C22 | semidirect |
| 35. Q32×C61 | C22 | semidirect |
| 36. SD32×C61 | C22 | semidirect |
| 37. D16×C61 | C22 | semidirect |
| 38. C2×C16×C61 | C22 | semidirect |
| 116. D61 | #508 | direct (N × H) |
| 123. #508 | D61 | direct (N × H) |
| 128. C61 | C2×#508 | semidirect |
| 135. #135 | C2×D61 | semidirect |
| 142. Q32 | C2×D61 | semidirect |
| 146. SD32 | C2×D61 | semidirect |
| 149. D16 | C2×D61 | semidirect |
| 155. C2×C16 | C2×D61 | semidirect |