Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
168 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14521331 | C2 | semidirect |
| 3. #14521179 | C2 | semidirect |
| 4. #14520802 | C2 | semidirect |
| 5. #14520795 | C2 | semidirect |
| 59. C8×C31 | SD16 | semidirect |
| 102. C31 | #1686 | semidirect |
| 142. C8 | #92480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521331 | 2 |
| #14521246 | 2 |
| #14521179 | 2 |
| #14520802 | 2 |
| #14520795 | 2 |
| #14520793 | 2 |
| C31×#492 | 2 |
| #1686 | 31 |