Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
408 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 408 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. #14521764 | C2 | semidirect |
| 2. #14521719 | C2 | semidirect |
| 3. #14521395 | C2 | semidirect |
| 4. #14521371 | C2 | semidirect |
| 5. #14521345 | C2 | semidirect |
| 6. #14521282 | C2 | semidirect |
| 7. #14521191 | C2 | semidirect |
| 8. C4×#92480 | C2 | semidirect |
| 9. #14521114 | C2 | semidirect |
| 10. #14521042 | C2 | semidirect |
| 11. C31×#459 | C2 | semidirect |
| 133. #459 | D31 | semidirect |
| 173. C31 | #3305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521764 | 2 |
| #14521719 | 2 |
| #14521395 | 2 |
| #14521371 | 2 |
| #14521345 | 2 |
| #14521282 | 2 |
| #14521191 | 2 |
| C4×#92480 | 2 |
| #14521114 | 2 |
| #14521042 | 2 |
| C31×#459 | 2 |
| #3305 | 31 |