Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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×#14519796 | C2 | semidirect |
| 2. C2×D8×D61 | C2 | semidirect |
| 3. #16840196 | C2 | direct (N × H) |
| 4. C2×#14519722 | C2 | semidirect |
| 5. C2×#14519721 | C2 | semidirect |
| 6. C2×#14519718 | C2 | semidirect |
| 7. C2×#14519716 | C2 | semidirect |
| 8. C2×D16×C61 | C2 | semidirect |
| 12. #14519796 | C22 | semidirect |
| 13. C2×Dic244 | C22 | semidirect |
| 18. D8×D61 | C22 | semidirect |
| 20. #14519722 | C22 | semidirect |
| 21. #14519721 | C22 | semidirect |
| 22. #14519718 | C22 | semidirect |
| 23. #14519716 | C22 | semidirect |
| 24. C2×#11758185 | C22 | semidirect |
| 26. C2×D8×C61 | C22 | semidirect |
| 27. D16×C61 | C22 | semidirect |
| 28. C2×C16×C61 | C22 | semidirect |
| 45. D8×C61 | C23 | semidirect |
| 51. Dic244 | C23 | semidirect |
| 56. C16×C61 | C23 | semidirect |
| 57. #11758185 | C23 | semidirect |
| 100. C2×C61 | #509 | semidirect |
| 110. C2×D16 | D61 | semidirect |
| 112. C61 | C2×#509 | semidirect |
| 124. C2×D8 | C2×D61 | semidirect |
| 129. D16 | C2×D61 | semidirect |
| 132. C2×C16 | C2×D61 | semidirect |
| 155. D8 | C22×D61 | semidirect |
| 161. C16 | C22×D61 | semidirect |
| 205. C2 | #16840196 | direct (N × H) |