Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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×#11758464 | C2 | semidirect |
| 3. #14521362 | C2 | semidirect |
| 4. #14521343 | C2 | semidirect |
| 5. #14521248 | C2 | semidirect |
| 6. #14521190 | C2 | semidirect |
| 7. #14521187 | C2 | semidirect |
| 8. #14521148 | C2 | semidirect |
| 9. #14521146 | C2 | semidirect |
| 10. #14521103 | C2 | semidirect |
| 11. C31×#480 | C2 | semidirect |
| 111. Dic62 | #41 | semidirect |
| 138. #480 | D31 | semidirect |
| 183. C31 | #3112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521594 | 2 |
| C2×#11758464 | 2 |
| #14521362 | 2 |
| #14521343 | 2 |
| #14521248 | 2 |
| #14521190 | 2 |
| #14521187 | 2 |
| #14521148 | 2 |
| #14521146 | 2 |
| #14521103 | 2 |
| C31×#480 | 2 |
| #3112 | 31 |