Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C2×#11758486 | C2 | semidirect |
| 3. C22×#92482 | C2 | semidirect |
| 4. #14521623 | C2 | semidirect |
| 5. #14521620 | C2 | semidirect |
| 6. #14521442 | C2 | semidirect |
| 7. #14521440 | C2 | semidirect |
| 8. #14521430 | C2 | semidirect |
| 9. #14521427 | C2 | semidirect |
| 10. #14521007 | C2 | semidirect |
| 11. C2×C31×#137 | C2 | semidirect |
| 140. C2×#137 | D31 | semidirect |
| 186. C31 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758486 | 2 |
| C2×#11758527 | 2 |
| C22×#92482 | 2 |
| #14521623 | 2 |
| #14521620 | 2 |
| #14521442 | 2 |
| #14521440 | 2 |
| #14521430 | 2 |
| #14521427 | 2 |
| #14521007 | 2 |
| C2×C31×#137 | 2 |
| #3156 | 31 |