Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
292 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 4. #31799957 | C2 | semidirect |
| 5. #31799767 | C2 | semidirect |
| 6. #31799762 | C2 | semidirect |
| 7. C2×#97×C277 | C2 | semidirect |
| 10. #22579886 | C4 | semidirect |
| 16. #22579808 | C4 | semidirect |
| 17. #22579805 | C4 | semidirect |
| 18. #22579802 | C4 | semidirect |
| 98. C277 | #1765 | semidirect |
| 104. C2×#97 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579886 | 2 |
| C2×#22579808 | 2 |
| #31799999 | 2 |
| #31799957 | 2 |
| #31799767 | 2 |
| #31799762 | 2 |
| C2×#97×C277 | 2 |
| #1765 | 277 |