Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
444 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14521606 | C2 | semidirect |
| 3. #14521385 | C2 | semidirect |
| 4. #14521330 | C2 | semidirect |
| 5. #14521255 | C2 | semidirect |
| 7. #14521151 | C2 | semidirect |
| 8. C31×#432 | C2 | semidirect |
| 23. #11758446 | C22 | semidirect |
| 24. #11758446 | C22 | semidirect |
| 26. C4×Dic62 | C22 | semidirect |
| 27. C31×C4⋊C8 | C22 | semidirect |
| 29. C31×#97 | C22 | semidirect |
| 31. #11758406 | C22 | semidirect |
| 32. #11758404 | C22 | semidirect |
| 115. #432 | D31 | semidirect |
| 140. C4⋊C8 | C2×D31 | semidirect |
| 144. #97 | C2×D31 | semidirect |
| 145. C31 | #3110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521606 | 2 |
| C2×C4×D124 | 2 |
| #14521385 | 2 |
| #14521330 | 2 |
| #14521255 | 2 |
| #14521202 | 2 |
| #14521151 | 2 |
| C31×#432 | 2 |
| #3110 | 31 |