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. #31800018 | C2 | semidirect |
| 4. #31800011 | C2 | semidirect |
| 5. #31799984 | C2 | semidirect |
| 6. #31799975 | C2 | semidirect |
| 7. #419×C277 | C2 | semidirect |
| 13. C2×#17984564 | C4 | semidirect |
| 18. C2×Q8×D277 | C4 | semidirect |
| 146. C277 | #1796 | semidirect |
| 152. #419 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579928 | 2 |
| #31800020 | 2 |
| #31800018 | 2 |
| #31800011 | 2 |
| #31799984 | 2 |
| #31799975 | 2 |
| #419×C277 | 2 |
| #1796 | 277 |