Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 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. #14521760 | C2 | semidirect |
| 2. #14521719 | C2 | semidirect |
| 3. #14521412 | C2 | semidirect |
| 4. #14521347 | C2 | semidirect |
| 5. #14521336 | C2 | semidirect |
| 6. #14521243 | C2 | semidirect |
| 7. #14521241 | C2 | semidirect |
| 8. #14521179 | C2 | semidirect |
| 9. #14521158 | C2 | semidirect |
| 10. C4×D248 | C2 | semidirect |
| 11. C31×#486 | C2 | semidirect |
| 96. D124 | #41 | semidirect |
| 127. #486 | D31 | semidirect |
| 170. C31 | #3366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521760 | 2 |
| #14521719 | 2 |
| #14521412 | 2 |
| #14521347 | 2 |
| #14521336 | 2 |
| #14521243 | 2 |
| #14521241 | 2 |
| #14521179 | 2 |
| #14521158 | 2 |
| C4×D248 | 2 |
| C31×#486 | 2 |
| #3366 | 31 |