Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
324 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 324 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 |
|---|---|---|
| 2. #31824229 | C2 | semidirect |
| 3. #31823479 | C2 | semidirect |
| 4. #31823469 | C2 | semidirect |
| 5. C2×#22582795 | C2 | semidirect |
| 6. #31823234 | C2 | semidirect |
| 7. #338×C281 | C2 | semidirect |
| 12. C2×#17985127 | C4 | semidirect |
| 13. C2×D2248 | C4 | semidirect |
| 112. C281 | #1903 | semidirect |
| 120. #338 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582907 | 2 |
| #31824229 | 2 |
| #31823479 | 2 |
| #31823469 | 2 |
| C2×#22582795 | 2 |
| #31823234 | 2 |
| #338×C281 | 2 |
| #1903 | 281 |