Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 12. #22579791 | C4 | semidirect |
| 13. C4×#14555660 | C4 | semidirect |
| 72. C277 | #1841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#17984547 | 2 |
| #31799774 | 2 |
| #31799772 | 2 |
| #31799762 | 2 |
| #31799760 | 2 |
| #31799758 | 2 |
| #339×C277 | 2 |
| #1841 | 277 |