Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14521606 | C2 | semidirect |
| 3. #14521414 | C2 | semidirect |
| 4. #14521396 | C2 | semidirect |
| 5. #14521055 | C2 | semidirect |
| 6. C4×M16×C31 | C2 | semidirect |
| 16. #11758447 | C22 | semidirect |
| 17. #11758446 | C22 | semidirect |
| 19. C31×#97 | C22 | semidirect |
| 20. C4×C8×C31 | C22 | semidirect |
| 21. #11758409 | C22 | semidirect |
| 76. C4×M16 | D31 | semidirect |
| 94. #97 | C2×D31 | semidirect |
| 95. C4×C8 | C2×D31 | semidirect |
| 96. C31 | #3138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521606 | 2 |
| C2×#11758451 | 2 |
| #14521414 | 2 |
| #14521396 | 2 |
| #14521055 | 2 |
| C4×M16×C31 | 2 |
| #3138 | 31 |