Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 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. C4×Dic1124 | C2 | semidirect |
| 4. #31823291 | C2 | semidirect |
| 5. #31823268 | C2 | semidirect |
| 7. C4×C16×C281 | C2 | semidirect |
| 12. #22582824 | C4 | direct (N × H) |
| 24. Dic1124 | C2×C4 | semidirect |
| 36. C16×C281 | C2×C4 | semidirect |
| 57. C4×C281 | SD32 | semidirect |
| 67. C281 | C4×SD32 | semidirect |
| 75. C4×C16 | D281 | semidirect |
| 104. C16 | C4×D281 | semidirect |
| 128. C4 | #22582824 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582824 | 2 |
| C4×Dic1124 | 2 |
| C4×D2248 | 2 |
| #31823291 | 2 |
| #31823268 | 2 |
| #31823265 | 2 |
| C4×C16×C281 | 2 |
| C4×SD32 | 281 |