Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
160 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 31. #92482 | C8 | semidirect |
| 94. C31 | #1579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×C31⋊C8 | 2 |
| #14521173 | 2 |
| C4×#92482 | 2 |
| #14520799 | 2 |
| #14520781 | 2 |
| #14520771 | 2 |
| C31×Q8⋊C8 | 2 |
| #1579 | 31 |