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×Q8×Dic281 | C2 | semidirect |
| 5. #31823352 | C2 | semidirect |
| 6. #31823337 | C2 | semidirect |
| 7. #31823332 | C2 | semidirect |
| 8. #31823309 | C2 | semidirect |
| 9. #391×C281 | C2 | semidirect |
| 12. #22582868 | C4 | semidirect |
| 45. #17985115 | C2×C4 | semidirect |
| 47. C4×Dic281 | C2×C4 | semidirect |
| 51. C2×Q8×C281 | C2×C4 | semidirect |
| 111. C281 | #2326 | semidirect |
| 116. #391 | D281 | semidirect |
| 145. C2×Q8 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582868 | 2 |
| C2×Q8×Dic281 | 2 |
| C2×#22582841 | 2 |
| #31823365 | 2 |
| #31823352 | 2 |
| #31823337 | 2 |
| #31823332 | 2 |
| #31823309 | 2 |
| #391×C281 | 2 |
| #2326 | 281 |