Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14521784 | C2 | semidirect |
| 2. #14521438 | C2 | semidirect |
| 3. #14521433 | C2 | semidirect |
| 4. #14521272 | C2 | semidirect |
| 5. #14521265 | C2 | semidirect |
| 6. #14521245 | C2 | semidirect |
| 7. #14521151 | C2 | semidirect |
| 8. C4×D248 | C2 | semidirect |
| 9. C31×#446 | C2 | semidirect |
| 110. #446 | D31 | semidirect |
| 143. C31 | #3403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521784 | 2 |
| #14521438 | 2 |
| #14521433 | 2 |
| #14521272 | 2 |
| #14521265 | 2 |
| #14521245 | 2 |
| #14521151 | 2 |
| C4×D248 | 2 |
| C31×#446 | 2 |
| #3403 | 31 |