Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
1424 conjugacy classes of subgroups; only the 545 normal subgroups are shown.
This group has 1424 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. #14521885 | C2 | semidirect |
| 2. #14521866 | C2 | semidirect |
| 3. #14521861 | C2 | semidirect |
| 4. #14521854 | C2 | semidirect |
| 5. #14521849 | C2 | semidirect |
| 6. C2×#11758481 | C2 | semidirect |
| 7. C2×C31×#131 | C2 | semidirect |
| 9. #11758567 | C22 | semidirect |
| 10. #11758566 | C22 | semidirect |
| 14. C2×#92495 | C22 | semidirect |
| 15. C31×#131 | C22 | semidirect |
| 16. C31×#131 | C22 | semidirect |
| 17. C2×M16×C31 | C22 | semidirect |
| 18. C22×C8×C31 | C22 | semidirect |
| 19. #11758486 | C22 | semidirect |
| 20. #11758485 | C22 | semidirect |
| 21. C2×Dic124 | C22 | semidirect |
| 22. #11758481 | C22 | semidirect |
| 23. #11758481 | C22 | semidirect |
| 24. #11758481 | C22 | semidirect |
| 25. #11758481 | C22 | semidirect |
| 26. C2×D248 | C22 | semidirect |
| 27. C2×#92470 | C22 | semidirect |
| 92. C2×#131 | D31 | semidirect |
| 113. #131 | C2×D31 | semidirect |
| 114. #131 | C2×D31 | semidirect |
| 115. C2×M16 | C2×D31 | semidirect |
| 116. C22×C8 | C2×D31 | semidirect |
| 117. C31 | #3584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521885 | 2 |
| #14521866 | 2 |
| #14521861 | 2 |
| #14521854 | 2 |
| #14521849 | 2 |
| C2×#11758481 | 2 |
| C2×C31×#131 | 2 |
| #3584 | 31 |