Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14521769 | C2 | semidirect |
| 2. #14521756 | C2 | semidirect |
| 3. #14521402 | C2 | semidirect |
| 4. #14521400 | C2 | semidirect |
| 5. #14521355 | C2 | semidirect |
| 6. #14521339 | C2 | semidirect |
| 8. #14521254 | C2 | semidirect |
| 9. C8×Dic62 | C2 | semidirect |
| 10. #14521140 | C2 | semidirect |
| 161. C31 | #3360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521769 | 2 |
| #14521756 | 2 |
| #14521402 | 2 |
| #14521400 | 2 |
| #14521355 | 2 |
| #14521339 | 2 |
| #14521262 | 2 |
| #14521254 | 2 |
| C8×Dic62 | 2 |
| #14521140 | 2 |
| C4×D8×C31 | 2 |
| #3360 | 31 |