Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 2. #14521456 | C2 | semidirect |
| 3. #14521455 | C2 | semidirect |
| 4. #14521451 | C2 | semidirect |
| 5. #14521449 | C2 | semidirect |
| 6. #14521446 | C2 | semidirect |
| 11. C31×#498 | C2 | semidirect |
| 64. #92469 | Q8 | semidirect |
| 65. C8×D31 | Q8 | semidirect |
| 103. #498 | D31 | semidirect |
| 138. C31 | #3163 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521676 | 2 |
| #14521456 | 2 |
| #14521455 | 2 |
| #14521451 | 2 |
| #14521449 | 2 |
| #14521446 | 2 |
| #14521088 | 2 |
| #14521084 | 2 |
| #106×D31 | 2 |
| #14521003 | 2 |
| C31×#498 | 2 |
| #3163 | 31 |