Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
370 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16840563 | C2 | semidirect |
| 2. #16840198 | C2 | semidirect |
| 3. #16840196 | C2 | semidirect |
| 4. #16840194 | C2 | semidirect |
| 5. #16840191 | C2 | semidirect |
| 6. D16×D61 | C2 | semidirect |
| 7. #16840178 | C2 | semidirect |
| 8. C2×D16×C61 | C2 | semidirect |
| 12. #14519799 | C22 | semidirect |
| 13. #14519796 | C22 | semidirect |
| 14. D8×D61 | C22 | semidirect |
| 16. Dic488 | C22 | semidirect |
| 17. #14519722 | C22 | semidirect |
| 18. #14519721 | C22 | semidirect |
| 19. D976 | C22 | semidirect |
| 20. #14519718 | C22 | semidirect |
| 21. #14519717 | C22 | semidirect |
| 22. #14519716 | C22 | semidirect |
| 23. C16×D61 | C22 | semidirect |
| 24. C2×D8×C61 | C22 | semidirect |
| 25. D16×C61 | C22 | semidirect |
| 26. D16×C61 | C22 | semidirect |
| 27. C2×C16×C61 | C22 | semidirect |
| 91. C2×D16 | D61 | semidirect |
| 93. C61 | #3415 | semidirect |
| 100. C2×D8 | C2×D61 | semidirect |
| 107. D16 | C2×D61 | semidirect |
| 108. D16 | C2×D61 | semidirect |
| 112. C2×C16 | C2×D61 | semidirect |