Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
122 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 3. #11758464 | C2 | semidirect |
| 4. C31×#106 | C2 | semidirect |
| 5. C8×Dic31 | C2 | semidirect |
| 6. #11758398 | C2 | semidirect |
| 19. #92470 | C4 | semidirect |
| 31. Dic62 | C2×C4 | semidirect |
| 32. C8×C31 | C2×C4 | semidirect |
| 44. Dic31 | SD16 | semidirect |
| 53. #106 | D31 | semidirect |
| 57. C31 | C4×SD16 | semidirect |
| 83. C8 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92470 | 2 |
| #11758470 | 2 |
| #11758464 | 2 |
| C31×#106 | 2 |
| C8×Dic31 | 2 |
| #11758398 | 2 |
| #11758397 | 2 |
| C4×SD16 | 31 |