Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
228 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14521087 | C2 | semidirect |
| 3. #14520854 | C2 | semidirect |
| 4. #14520851 | C2 | semidirect |
| 5. C22×C16×C31 | C2 | semidirect |
| 11. #11758481 | C4 | semidirect |
| 67. C22×C16 | D31 | semidirect |
| 87. C31 | #2138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758481 | 2 |
| #14521087 | 2 |
| #14520854 | 2 |
| #14520851 | 2 |
| C22×C16×C31 | 2 |
| #2138 | 31 |