Finite Group DatabasebetaFinite Group DatabasebetaOrder 31168.
110 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 37 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. #29510206 | C2 | semidirect |
| 3. #29510137 | C2 | semidirect |
| 4. #29510136 | C2 | semidirect |
| 5. #29510135 | C2 | semidirect |
| 6. #29510125 | C2 | semidirect |
| 7. #102×C487 | C2 | semidirect |
| 52. C487 | #490 | semidirect |
| 59. #102 | D487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29510211 | 2 |
| #29510206 | 2 |
| #29510137 | 2 |
| #29510136 | 2 |
| #29510135 | 2 |
| #29510125 | 2 |
| #102×C487 | 2 |
| #490 | 487 |