Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
524 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 197 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 |
|---|---|---|
| 3. #31799884 | C2 | semidirect |
| 4. C4×#17984542 | C2 | semidirect |
| 6. C42×Dic277 | C2 | semidirect |
| 7. #376×C277 | C2 | semidirect |
| 9. #22579837 | C4 | semidirect |
| 75. C277 | #2298 | semidirect |
| 82. #376 | D277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22579837 | 2 |
| #31799891 | 2 |
| #31799884 | 2 |
| C4×#17984542 | 2 |
| C4×#17984540 | 2 |
| C42×Dic277 | 2 |
| #376×C277 | 2 |
| #2298 | 277 |