Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
392 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14521606 | C2 | semidirect |
| 3. #14521418 | C2 | semidirect |
| 4. #14521414 | C2 | semidirect |
| 5. #14521409 | C2 | semidirect |
| 6. #14521046 | C2 | semidirect |
| 7. C2×C31×#97 | C2 | semidirect |
| 81. C2×#97 | D31 | semidirect |
| 103. C31 | #3135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521606 | 2 |
| #14521599 | 2 |
| #14521418 | 2 |
| #14521414 | 2 |
| #14521409 | 2 |
| #14521046 | 2 |
| C2×C31×#97 | 2 |
| #3135 | 31 |