Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. C2×#22582811 | C2 | semidirect |
| 2. C2×#22582803 | C2 | semidirect |
| 4. C2×C8×Dic281 | C2 | semidirect |
| 5. #31823370 | C2 | semidirect |
| 22. C2×SD16×C281 | C4 | semidirect |
| 62. C2×Dic281 | SD16 | semidirect |
| 87. C8×C281 | C22⋊C4 | semidirect |
| 112. C281 | #1968 | semidirect |
| 125. C2×SD16 | Dic281 | semidirect |
| 200. C8 | C22⋊Dic281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582811 | 2 |
| C2×#22582803 | 2 |
| C2×#22582800 | 2 |
| C2×C8×Dic281 | 2 |
| #31823370 | 2 |
| #31823366 | 2 |
| C22×SD16×C281 | 2 |
| #1968 | 281 |