Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×Dic562 | C2 | semidirect |
| 3. #31823368 | C2 | semidirect |
| 5. #31823351 | C2 | semidirect |
| 6. #31823336 | C2 | semidirect |
| 7. #31823332 | C2 | semidirect |
| 8. #31823309 | C2 | semidirect |
| 11. #22582866 | C4 | semidirect |
| 32. C2×Dic562 | C2×C4 | semidirect |
| 41. C22⋊Dic281 | C2×C4 | semidirect |
| 44. C4×Dic281 | C2×C4 | semidirect |
| 111. C281 | #2326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582866 | 2 |
| C2×C4×Dic562 | 2 |
| #31823368 | 2 |
| #31823366 | 2 |
| #31823351 | 2 |
| #31823336 | 2 |
| #31823332 | 2 |
| #31823309 | 2 |
| C2×C4×D4×C281 | 2 |
| #2326 | 281 |