Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
596 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 177 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. #31823363 | C2 | semidirect |
| 3. #31823352 | C2 | semidirect |
| 4. #31823348 | C2 | semidirect |
| 5. #31823341 | C2 | semidirect |
| 6. #31823339 | C2 | semidirect |
| 7. C4×C22⋊Dic281 | C2 | semidirect |
| 8. #31823310 | C2 | semidirect |
| 9. #381×C281 | C2 | semidirect |
| 13. #22582853 | C4 | semidirect |
| 38. C2×C22⋊D281 | C2×C4 | semidirect |
| 45. C4⋊Dic281 | C2×C4 | semidirect |
| 51. #17985115 | C2×C4 | semidirect |
| 58. C22×C4×C281 | C2×C4 | semidirect |
| 134. C281 | #2333 | semidirect |
| 142. #381 | D281 | semidirect |
| 183. C22×C4 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582853 | 2 |
| #31823363 | 2 |
| #31823352 | 2 |
| #31823348 | 2 |
| #31823341 | 2 |
| #31823339 | 2 |
| C4×C22⋊Dic281 | 2 |
| #31823310 | 2 |
| #381×C281 | 2 |
| #2333 | 281 |