Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
144 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14521167 | C2 | semidirect |
| 3. #14520878 | C2 | semidirect |
| 4. #14520856 | C2 | semidirect |
| 5. #14520855 | C2 | semidirect |
| 6. #14520825 | C2 | semidirect |
| 7. C31×#443 | C2 | semidirect |
| 15. #11758417 | C4 | semidirect |
| 16. #11758416 | C4 | semidirect |
| 17. #11758415 | C4 | semidirect |
| 18. #11758414 | C4 | semidirect |
| 70. #443 | D31 | semidirect |
| 94. C31 | #2179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521479 | 2 |
| #14521167 | 2 |
| #14520878 | 2 |
| #14520856 | 2 |
| #14520855 | 2 |
| #14520825 | 2 |
| C31×#443 | 2 |
| #2179 | 31 |