Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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×#11758478 | C2 | semidirect |
| 3. C2×#11758393 | C2 | semidirect |
| 4. C2×#11758393 | C2 | semidirect |
| 5. #14521015 | C2 | semidirect |
| 6. #14520814 | C2 | semidirect |
| 7. C31×#336 | C2 | semidirect |
| 15. C2×Dic124 | C4 | semidirect |
| 18. C2×D248 | C4 | semidirect |
| 19. C2×#92470 | C4 | semidirect |
| 20. C2×#92470 | C4 | semidirect |
| 130. #336 | D31 | semidirect |
| 159. C31 | #1876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758481 | 2 |
| C2×#11758478 | 2 |
| C2×#11758393 | 2 |
| #14521015 | 2 |
| #14520814 | 2 |
| C31×#336 | 2 |
| #1876 | 31 |