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. #31823369 | C2 | semidirect |
| 5. #31823357 | C2 | semidirect |
| 6. #31823335 | C2 | semidirect |
| 7. #31823332 | C2 | semidirect |
| 8. #31823309 | C2 | semidirect |
| 12. #22582866 | C4 | semidirect |
| 32. C2×Dic562 | C2×C4 | semidirect |
| 44. C22⋊Dic281 | C2×C4 | semidirect |
| 46. 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×#22582844 | 2 |
| C2×D4×Dic281 | 2 |
| #31823369 | 2 |
| #31823357 | 2 |
| #31823335 | 2 |
| #31823332 | 2 |
| #31823309 | 2 |
| #390×C281 | 2 |
| #2326 | 281 |