Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 85 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. #41×Dic31 | C2 | semidirect |
| 3. C2×#11758413 | C2 | semidirect |
| 4. #14521022 | C2 | semidirect |
| 5. #14520820 | C2 | semidirect |
| 6. #14520808 | C2 | semidirect |
| 7. C31×#421 | C2 | semidirect |
| 12. #11758528 | C4 | semidirect |
| 14. #11758526 | C4 | semidirect |
| 45. C2×D124 | C2×C4 | semidirect |
| 47. C2×Dic62 | C2×C4 | semidirect |
| 68. #92474 | C2×C4 | semidirect |
| 126. #421 | D31 | semidirect |
| 158. C31 | #1906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521847 | 2 |
| #41×Dic31 | 2 |
| C2×#11758413 | 2 |
| #14521022 | 2 |
| #14520820 | 2 |
| #14520808 | 2 |
| C31×#421 | 2 |
| #1906 | 31 |