Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
404 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. C2×#22579805 | C2 | semidirect |
| 4. #31799765 | C2 | semidirect |
| 9. #22579859 | C4 | semidirect |
| 23. C2×Dic554 | C2×C4 | semidirect |
| 33. C4⋊Dic277 | C2×C4 | semidirect |
| 83. C22×C277 | #103 | semidirect |
| 105. C277 | #1872 | semidirect |
| 189. C22 | #22579805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579859 | 2 |
| C22×C4⋊Dic277 | 2 |
| C2×#22579805 | 2 |
| #31799765 | 2 |
| C2×C22⋊C8×C277 | 2 |
| #1872 | 277 |