Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
260 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 89 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. #31800038 | C2 | semidirect |
| 4. #31799758 | C2 | semidirect |
| 8. C2×#17984547 | C4 | semidirect |
| 10. C22×#14555660 | C4 | semidirect |
| 74. C277 | #1812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579887 | 2 |
| #31800038 | 2 |
| #31799976 | 2 |
| #31799758 | 2 |
| #410×C277 | 2 |
| #1812 | 277 |