Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
726 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 253 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. #14521532 | C2 | semidirect |
| 3. #14521059 | C2 | semidirect |
| 4. #14521051 | C2 | semidirect |
| 5. #14521046 | C2 | semidirect |
| 6. C2×#11758404 | C2 | semidirect |
| 7. C2×C31×#131 | C2 | semidirect |
| 10. #11758567 | C4 | semidirect |
| 38. #92495 | C2×C4 | semidirect |
| 43. C2×Dic62 | C2×C4 | semidirect |
| 91. C2×#131 | D31 | semidirect |
| 121. C31 | #2898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758567 | 2 |
| #14521532 | 2 |
| #14521059 | 2 |
| #14521051 | 2 |
| #14521046 | 2 |
| C2×#11758404 | 2 |
| C2×C31×#131 | 2 |
| #2898 | 31 |