Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
612 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×#22582844 | C2 | semidirect |
| 4. #31823368 | C2 | semidirect |
| 6. #31823353 | C2 | semidirect |
| 7. #31823334 | C2 | semidirect |
| 8. #31823309 | C2 | semidirect |
| 9. #384×C281 | C2 | semidirect |
| 13. #22582867 | C4 | semidirect |
| 33. C2×Dic562 | C2×C4 | semidirect |
| 46. #17985115 | C2×C4 | semidirect |
| 57. C42×C281 | C2×C4 | semidirect |
| 111. C281 | #2326 | semidirect |
| 120. #384 | D281 | semidirect |
| 169. C42 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582867 | 2 |
| C2×#22582844 | 2 |
| C2×#22582841 | 2 |
| #31823368 | 2 |
| #31823364 | 2 |
| #31823353 | 2 |
| #31823334 | 2 |
| #31823309 | 2 |
| #384×C281 | 2 |
| #2326 | 281 |