Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
156 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14521344 | C2 | semidirect |
| 4. #14520802 | C2 | semidirect |
| 5. #14520797 | C2 | semidirect |
| 7. C31×#446 | C2 | semidirect |
| 76. #446 | D31 | semidirect |
| 99. C31 | #1698 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521396 | 2 |
| #14521344 | 2 |
| #14521249 | 2 |
| #14520802 | 2 |
| #14520797 | 2 |
| #14520792 | 2 |
| C31×#446 | 2 |
| #1698 | 31 |