Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
458 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 177 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 |
|---|---|---|
| 2. #14521815 | C2 | semidirect |
| 3. #14521170 | C2 | semidirect |
| 4. #14521165 | C2 | semidirect |
| 5. C2×#11758413 | C2 | semidirect |
| 6. M16×Dic31 | C2 | semidirect |
| 7. C31×#430 | C2 | semidirect |
| 13. #11758486 | C4 | semidirect |
| 14. #11758485 | C4 | semidirect |
| 15. #11758484 | C22 | semidirect |
| 19. C31×#108 | C22 | semidirect |
| 20. #11758413 | C22 | semidirect |
| 21. #11758413 | C22 | semidirect |
| 22. #11758403 | C22 | semidirect |
| 23. C8×Dic31 | C22 | semidirect |
| 44. Dic124 | C2×C4 | semidirect |
| 45. D248 | C2×C4 | semidirect |
| 46. #92470 | C2×C4 | semidirect |
| 86. #430 | D31 | semidirect |
| 104. #108 | C2×D31 | semidirect |
| 109. C31 | #2956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521849 | 2 |
| #14521815 | 2 |
| #14521170 | 2 |
| #14521165 | 2 |
| C2×#11758413 | 2 |
| M16×Dic31 | 2 |
| C31×#430 | 2 |
| #2956 | 31 |