Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
160 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 47 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×#22582823 | C2 | semidirect |
| 2. C2×#22582818 | C2 | semidirect |
| 3. #31823705 | C2 | semidirect |
| 5. #31823288 | C2 | semidirect |
| 6. #31823268 | C2 | semidirect |
| 7. #357×C281 | C2 | semidirect |
| 33. #17985113 | D4 | semidirect |
| 75. C281 | #2220 | semidirect |
| 83. #357 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582823 | 2 |
| C2×#22582818 | 2 |
| #31823705 | 2 |
| #31823696 | 2 |
| #31823288 | 2 |
| #31823268 | 2 |
| #357×C281 | 2 |
| #2220 | 281 |