Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
260 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14521071 | C2 | semidirect |
| 3. C4⋊C8×D31 | C2 | semidirect |
| 4. #14520796 | C2 | semidirect |
| 5. #14520794 | C2 | semidirect |
| 6. #14520793 | C2 | semidirect |
| 7. C31×#331 | C2 | semidirect |
| 100. #331 | D31 | semidirect |
| 123. C31 | #1547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521597 | 2 |
| #14521071 | 2 |
| C4⋊C8×D31 | 2 |
| #14520796 | 2 |
| #14520794 | 2 |
| #14520793 | 2 |
| C31×#331 | 2 |
| #1547 | 31 |