Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
204 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 57 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. #31800194 | C2 | semidirect |
| 2. C8×D1108 | C2 | semidirect |
| 3. #31799755 | C2 | semidirect |
| 4. #31799746 | C2 | semidirect |
| 5. #493×C277 | C2 | semidirect |
| 35. D1108 | D8 | semidirect |
| 51. C8×C277 | D8 | semidirect |
| 70. C277 | #1667 | semidirect |
| 72. #493 | D277 | semidirect |
| 122. C8 | #17984548 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800194 | 2 |
| C8×D1108 | 2 |
| #31799755 | 2 |
| #31799746 | 2 |
| #493×C277 | 2 |
| #1667 | 277 |