Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. #31800020 | C2 | semidirect |
| 3. #31800010 | C2 | semidirect |
| 4. #31799986 | C2 | semidirect |
| 5. #410×C277 | C2 | semidirect |
| 8. C2×#17984563 | C4 | semidirect |
| 12. C22×Dic554 | C4 | semidirect |
| 108. C277 | #1796 | semidirect |
| 114. #410 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579927 | 2 |
| #31800020 | 2 |
| #31800010 | 2 |
| #31799986 | 2 |
| #410×C277 | 2 |
| #1796 | 277 |