Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
1412 conjugacy classes of subgroups; only the 545 normal subgroups are shown.
This group has 1412 conjugacy classes of subgroups — too many to draw. Only its 545 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. #16840598 | C2 | semidirect |
| 2. #16840577 | C2 | semidirect |
| 3. #16840570 | C2 | semidirect |
| 4. #16840560 | C2 | semidirect |
| 5. C2×#14519808 | C2 | semidirect |
| 6. #16840529 | C2 | semidirect |
| 7. C2×2−1+4×C61 | C2 | semidirect |
| 9. #14519824 | C22 | semidirect |
| 10. #14519823 | C22 | semidirect |
| 14. #14519808 | C22 | semidirect |
| 15. #14519808 | C22 | semidirect |
| 16. #14519807 | C22 | semidirect |
| 17. #14519803 | C22 | semidirect |
| 18. #14519802 | C22 | semidirect |
| 19. #14519797 | C22 | semidirect |
| 20. C2×#11758202 | C22 | semidirect |
| 21. C2×#11758201 | C22 | semidirect |
| 22. #14519784 | C22 | semidirect |
| 23. C2×#11758194 | C22 | semidirect |
| 25. 2−1+4×C61 | C22 | semidirect |
| 28. C2×#41×C61 | C22 | semidirect |
| 30. C22×Q8×C61 | C22 | semidirect |
| 114. C2×2−1+4 | D61 | semidirect |
| 120. C61 | #3586 | semidirect |
| 124. 2−1+4 | C2×D61 | semidirect |
| 131. C2×#41 | C2×D61 | semidirect |
| 133. C22×Q8 | C2×D61 | semidirect |