Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
104 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 35 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. Q32×D277 | C2 | semidirect |
| 3. #31799842 | C2 | semidirect |
| 4. #31799841 | C2 | semidirect |
| 5. #31799839 | C2 | semidirect |
| 6. #31799835 | C2 | semidirect |
| 7. Q64×C277 | C2 | semidirect |
| 51. C277 | #2264 | semidirect |
| 56. Q64 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800435 | 2 |
| Q32×D277 | 2 |
| #31799842 | 2 |
| #31799841 | 2 |
| #31799839 | 2 |
| #31799835 | 2 |
| Q64×C277 | 2 |
| #2264 | 277 |