Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 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. #31800040 | C2 | semidirect |
| 3. #31800018 | C2 | semidirect |
| 4. #31799975 | C2 | semidirect |
| 5. #405×C277 | C2 | semidirect |
| 11. C2×Dic1108 | C4 | semidirect |
| 12. C2×#17984552 | C4 | semidirect |
| 13. C2×D2216 | C4 | semidirect |
| 96. C277 | #1976 | semidirect |
| 102. #405 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579902 | 2 |
| #31800040 | 2 |
| #31800018 | 2 |
| #31799975 | 2 |
| #405×C277 | 2 |
| #1976 | 277 |