Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
142 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 47 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×SD16×C31 | C2 | semidirect |
| 2. #11758521 | C2 | semidirect |
| 3. C2×#92481 | C2 | semidirect |
| 5. C2×#92480 | C2 | semidirect |
| 6. C2×#92470 | C2 | semidirect |
| 7. C8×Dic31 | C2 | semidirect |
| 36. C8×C31 | D4 | semidirect |
| 37. C31⋊C8 | D4 | semidirect |
| 47. Dic31 | SD16 | semidirect |
| 56. C2×SD16 | D31 | semidirect |
| 60. C31 | #492 | semidirect |
| 90. C8 | C22⋊D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×SD16×C31 | 2 |
| #11758521 | 2 |
| C2×#92481 | 2 |
| #11758517 | 2 |
| C2×#92480 | 2 |
| C2×#92470 | 2 |
| C8×Dic31 | 2 |
| #492 | 31 |