Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
304 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #31823471 | C2 | semidirect |
| 5. C2×#22582797 | C2 | semidirect |
| 6. #31823221 | C2 | semidirect |
| 7. #344×C281 | C2 | semidirect |
| 12. C2×Dic1124 | C4 | semidirect |
| 13. C2×#17985127 | C4 | semidirect |
| 107. C281 | #1902 | semidirect |
| 114. #344 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582912 | 2 |
| #31824229 | 2 |
| #31823481 | 2 |
| #31823471 | 2 |
| C2×#22582797 | 2 |
| #31823221 | 2 |
| #344×C281 | 2 |
| #1902 | 281 |