Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
512 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 3. #31823360 | C2 | semidirect |
| 4. #31823357 | C2 | semidirect |
| 5. #31823351 | C2 | semidirect |
| 6. #31823345 | C2 | semidirect |
| 7. #31823336 | C2 | semidirect |
| 8. #31823321 | C2 | semidirect |
| 11. #22582860 | C4 | semidirect |
| 34. C22×Dic281 | C2×C4 | semidirect |
| 43. #17985117 | C2×C4 | semidirect |
| 47. C22⋊Dic281 | C2×C4 | semidirect |
| 126. C281 | #2376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582860 | 2 |
| #31823366 | 2 |
| #31823360 | 2 |
| #31823357 | 2 |
| #31823351 | 2 |
| #31823345 | 2 |
| #31823336 | 2 |
| #31823321 | 2 |
| #386×C281 | 2 |
| #2376 | 281 |