Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14521085 | C2 | semidirect |
| 3. #14521065 | C2 | semidirect |
| 4. #14521023 | C2 | semidirect |
| 5. #14521022 | C2 | semidirect |
| 6. #14521007 | C2 | semidirect |
| 7. C31×#421 | C2 | semidirect |
| 16. C2×#92482 | C4 | semidirect |
| 17. C2×#92481 | C4 | semidirect |
| 18. C2×#92480 | C4 | semidirect |
| 19. C2×#92479 | C4 | semidirect |
| 130. #421 | D31 | semidirect |
| 163. C31 | #1976 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758527 | 2 |
| #14521085 | 2 |
| #14521065 | 2 |
| #14521023 | 2 |
| #14521022 | 2 |
| #14521007 | 2 |
| C31×#421 | 2 |
| #1976 | 31 |