Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
382 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 382 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. #14521777 | C2 | semidirect |
| 3. #14521414 | C2 | semidirect |
| 4. #14521396 | C2 | semidirect |
| 5. #14521350 | C2 | semidirect |
| 6. #14521330 | C2 | semidirect |
| 7. #14521250 | C2 | semidirect |
| 8. #14521250 | C2 | semidirect |
| 9. #14521151 | C2 | semidirect |
| 10. C4×#92470 | C2 | semidirect |
| 11. C31×#446 | C2 | semidirect |
| 98. Dic62 | #41 | semidirect |
| 128. #446 | D31 | semidirect |
| 165. C31 | #3368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521777 | 2 |
| #14521721 | 2 |
| #14521414 | 2 |
| #14521396 | 2 |
| #14521350 | 2 |
| #14521330 | 2 |
| #14521250 | 2 |
| #14521151 | 2 |
| C4×#92470 | 2 |
| C31×#446 | 2 |
| #3368 | 31 |