Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 1. #14521772 | C2 | semidirect |
| 3. #14521454 | C2 | semidirect |
| 4. #14521383 | C2 | semidirect |
| 5. #14521371 | C2 | semidirect |
| 6. #14521334 | C2 | semidirect |
| 7. #14521329 | C2 | semidirect |
| 8. #14521292 | C2 | semidirect |
| 9. #14521128 | C2 | semidirect |
| 10. #14521088 | C2 | semidirect |
| 11. C4×SD16×C31 | C2 | semidirect |
| 98. C8×C31 | #41 | semidirect |
| 126. C4×SD16 | D31 | semidirect |
| 163. C31 | #3353 | semidirect |
| 222. C8 | #92495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521772 | 2 |
| #14521704 | 2 |
| #14521454 | 2 |
| #14521383 | 2 |
| #14521371 | 2 |
| #14521334 | 2 |
| #14521329 | 2 |
| #14521292 | 2 |
| #14521128 | 2 |
| #14521088 | 2 |
| C4×SD16×C31 | 2 |
| #3353 | 31 |