Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
144 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 1. #31823881 | C2 | semidirect |
| 2. #31823880 | C2 | semidirect |
| 4. #31823283 | C2 | semidirect |
| 5. #31823246 | C2 | semidirect |
| 6. #31823238 | C2 | semidirect |
| 7. #350×C281 | C2 | semidirect |
| 71. C281 | #2171 | semidirect |
| 78. #350 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823881 | 2 |
| #31823880 | 2 |
| #31823578 | 2 |
| #31823283 | 2 |
| #31823246 | 2 |
| #31823238 | 2 |
| #350×C281 | 2 |
| #2171 | 281 |