Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 157 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. #14521179 | C2 | semidirect |
| 3. #14521178 | C2 | semidirect |
| 4. #14521177 | C2 | semidirect |
| 5. #14521176 | C2 | semidirect |
| 126. C31 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521602 | 2 |
| #14521179 | 2 |
| #14521178 | 2 |
| #14521177 | 2 |
| #14521176 | 2 |
| #14521110 | 2 |
| #14521107 | 2 |
| #14521103 | 2 |
| C31×#433 | 2 |
| #2987 | 31 |