Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
316 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 83 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×#22582814 | C2 | semidirect |
| 3. #31823469 | C2 | semidirect |
| 4. #31823468 | C2 | semidirect |
| 5. C2×#22582795 | C2 | semidirect |
| 6. #31823421 | C2 | semidirect |
| 7. C2×#100×C281 | C2 | semidirect |
| 12. C2×#17985123 | C4 | semidirect |
| 111. C281 | #1978 | semidirect |
| 118. C2×#100 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17985123 | 2 |
| C2×#22582814 | 2 |
| #31823469 | 2 |
| #31823468 | 2 |
| C2×#22582795 | 2 |
| #31823421 | 2 |
| C2×#100×C281 | 2 |
| #1978 | 281 |