Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
292 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #31823421 | C2 | semidirect |
| 5. C2×#22582789 | C2 | semidirect |
| 6. #31823224 | C2 | semidirect |
| 7. #341×C281 | C2 | semidirect |
| 10. #22582887 | C4 | semidirect |
| 16. #22582805 | C4 | semidirect |
| 17. #22582804 | C4 | semidirect |
| 18. #22582801 | C4 | semidirect |
| 98. C281 | #1765 | semidirect |
| 105. #341 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582887 | 2 |
| C2×#22582805 | 2 |
| #31823460 | 2 |
| #31823421 | 2 |
| C2×#22582789 | 2 |
| #31823224 | 2 |
| #341×C281 | 2 |
| #1765 | 281 |