Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
270 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#11758407 | C2 | semidirect |
| 3. #14521076 | C2 | semidirect |
| 5. #14520808 | C2 | semidirect |
| 6. #14520803 | C2 | semidirect |
| 19. C31×#103 | C4 | semidirect |
| 20. C31×#103 | C4 | semidirect |
| 21. C31×#102 | C4 | semidirect |
| 22. C31×#102 | C4 | semidirect |
| 132. #103 | Dic31 | semidirect |
| 133. #103 | Dic31 | semidirect |
| 134. #102 | Dic31 | semidirect |
| 135. #102 | Dic31 | semidirect |
| 136. C31 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758525 | 2 |
| C2×#11758407 | 2 |
| #14521076 | 2 |
| C2×#11758425 | 2 |
| #14520808 | 2 |
| #14520803 | 2 |
| C31×#416 | 2 |
| #1866 | 31 |