Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14519810 | C2 | semidirect |
| 2. C2×#14519807 | C2 | semidirect |
| 3. C2×#14519803 | C2 | semidirect |
| 4. #16840308 | C2 | semidirect |
| 5. C2×#14519764 | C2 | semidirect |
| 6. #16840153 | C2 | semidirect |
| 7. #16840150 | C2 | semidirect |
| 8. #16840145 | C2 | semidirect |
| 9. #16840143 | C2 | semidirect |
| 10. M16×Dic61 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C61 | C2 | semidirect |
| 17. C2×Dic244 | C22 | semidirect |
| 18. C2×#11758202 | C22 | semidirect |
| 19. C2×#11758190 | C22 | semidirect |
| 21. C2×#11758200 | C22 | semidirect |
| 24. #14519775 | C22 | semidirect |
| 25. #14519773 | C22 | semidirect |
| 26. #14519766 | C22 | semidirect |
| 30. #14519764 | C22 | semidirect |
| 35. #14519687 | C22 | semidirect |
| 36. C8×Dic61 | C22 | semidirect |
| 70. M16×C61 | D4 | semidirect |
| 84. #11758194 | D4 | semidirect |
| 154. C2×AGL(1,ℤ/8) | D61 | semidirect |
| 162. C61 | #3153 | semidirect |
| 228. M16 | C22⋊D61 | semidirect |