Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
354 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14521759 | C2 | semidirect |
| 3. #14521454 | C2 | semidirect |
| 4. #14521389 | C2 | semidirect |
| 5. #14521361 | C2 | semidirect |
| 6. #14521344 | C2 | semidirect |
| 7. #14521339 | C2 | semidirect |
| 8. #14521292 | C2 | semidirect |
| 9. #14521128 | C2 | semidirect |
| 10. #14521088 | C2 | semidirect |
| 11. C4×SD16×C31 | C2 | semidirect |
| 125. C4×SD16 | D31 | semidirect |
| 162. C31 | #3357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521764 | 2 |
| #14521759 | 2 |
| #14521454 | 2 |
| #14521389 | 2 |
| #14521361 | 2 |
| #14521344 | 2 |
| #14521339 | 2 |
| #14521292 | 2 |
| #14521128 | 2 |
| #14521088 | 2 |
| C4×SD16×C31 | 2 |
| #3357 | 31 |