Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
150 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 11. #22579826 | C4 | semidirect |
| 59. Dic277 | Q32 | semidirect |
| 63. C277 | C4×Q32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579826 | 2 |
| Q16×Dic277 | 2 |
| #31800096 | 2 |
| #31799827 | 2 |
| #31799807 | 2 |
| C16×Dic277 | 2 |
| #358×C277 | 2 |
| C4×Q32 | 277 |