Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
276 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 71 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. #31823489 | C2 | semidirect |
| 2. #31823472 | C2 | semidirect |
| 4. C2×#22582798 | C2 | semidirect |
| 6. #31823228 | C2 | semidirect |
| 100. C281 | #2046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823489 | 2 |
| #31823472 | 2 |
| #31823468 | 2 |
| C2×#22582798 | 2 |
| C2×#22582796 | 2 |
| #31823228 | 2 |
| C22×SD16×C281 | 2 |
| #2046 | 281 |