Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
244 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 244 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 |
|---|---|---|
| 9. #22582878 | C4 | semidirect |
| 10. #22582870 | C4 | semidirect |
| 37. C4×Dic281 | Q8 | semidirect |
| 47. C42×C281 | Q8 | semidirect |
| 85. C281 | #1995 | semidirect |
| 133. C42 | Dic562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824016 | 2 |
| #31823486 | 2 |
| #31823309 | 2 |
| #31823224 | 2 |
| #31823223 | 2 |
| #31823222 | 2 |
| #339×C281 | 2 |
| #1995 | 281 |