Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
320 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 83 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. #31823486 | C2 | semidirect |
| 3. C2×#22582807 | C2 | semidirect |
| 4. C2×#22582806 | C2 | semidirect |
| 5. C2×#22582805 | C2 | semidirect |
| 6. #31823309 | C2 | semidirect |
| 7. C2×#104×C281 | C2 | semidirect |
| 10. #22582877 | C4 | semidirect |
| 11. #22582875 | C4 | semidirect |
| 12. #22582868 | C4 | semidirect |
| 13. #22582866 | C4 | semidirect |
| 48. C4×Dic281 | D4 | semidirect |
| 63. C42×C281 | D4 | semidirect |
| 125. C281 | #1963 | semidirect |
| 132. C2×#104 | D281 | semidirect |
| 189. C42 | C22⋊D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824009 | 2 |
| #31823486 | 2 |
| C2×#22582807 | 2 |
| C2×#22582806 | 2 |
| C2×#22582805 | 2 |
| #31823309 | 2 |
| C2×#104×C281 | 2 |
| #1963 | 281 |