Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14521759 | C2 | semidirect |
| 2. #14521413 | C2 | semidirect |
| 3. #14521395 | C2 | semidirect |
| 4. #14521349 | C2 | semidirect |
| 5. #14521339 | C2 | semidirect |
| 6. #14521241 | C2 | semidirect |
| 7. #14521241 | C2 | semidirect |
| 8. #14521180 | C2 | semidirect |
| 9. #14521159 | C2 | semidirect |
| 10. C4×#92479 | C2 | semidirect |
| 11. C31×#550 | C2 | semidirect |
| 97. D124 | #41 | semidirect |
| 125. #550 | 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 |
|---|---|
| #14521759 | 2 |
| #14521413 | 2 |
| #14521395 | 2 |
| #14521349 | 2 |
| #14521339 | 2 |
| #14521241 | 2 |
| #14521180 | 2 |
| #14521159 | 2 |
| C4×#92479 | 2 |
| C31×#550 | 2 |
| #3366 | 31 |