Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
372 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14521773 | C2 | semidirect |
| 2. #14521714 | C2 | semidirect |
| 3. #14521410 | C2 | semidirect |
| 4. #14521342 | C2 | semidirect |
| 5. #14521326 | C2 | semidirect |
| 7. #14521251 | C2 | semidirect |
| 8. #14521179 | C2 | semidirect |
| 9. #14521152 | C2 | semidirect |
| 11. C31×#487 | C2 | semidirect |
| 121. #487 | D31 | semidirect |
| 163. C31 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521773 | 2 |
| #14521714 | 2 |
| #14521410 | 2 |
| #14521342 | 2 |
| #14521326 | 2 |
| #14521267 | 2 |
| #14521251 | 2 |
| #14521179 | 2 |
| #14521152 | 2 |
| C4×D248 | 2 |
| C31×#487 | 2 |
| #3367 | 31 |