Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
360 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 101 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. #31823487 | C2 | semidirect |
| 3. C2×#22582807 | C2 | semidirect |
| 4. C43×C281 | C2 | semidirect |
| 7. #22582879 | C4 | semidirect |
| 8. #22582876 | C4 | semidirect |
| 9. #22582867 | C4 | semidirect |
| 36. C42×C281 | D4 | semidirect |
| 63. C4×C281 | #104 | semidirect |
| 72. C281 | #1962 | semidirect |
| 77. C43 | D281 | semidirect |
| 109. C42 | D1124 | semidirect |
| 137. C4 | #22582807 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824013 | 2 |
| #31823487 | 2 |
| C2×#22582807 | 2 |
| C43×C281 | 2 |
| #1962 | 281 |