Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
652 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 209 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. C2×#22582844 | C2 | semidirect |
| 4. #31823368 | C2 | semidirect |
| 6. #31823352 | C2 | semidirect |
| 7. #31823310 | C2 | semidirect |
| 8. C42×Dic281 | C2 | semidirect |
| 9. #382×C281 | C2 | semidirect |
| 13. #22582867 | C4 | semidirect |
| 33. C2×Dic562 | C2×C4 | semidirect |
| 46. #17985115 | C2×C4 | semidirect |
| 58. C42×C281 | C2×C4 | semidirect |
| 105. Dic281 | #124 | semidirect |
| 112. C281 | C4×#124 | semidirect |
| 120. #382 | D281 | semidirect |
| 171. C42 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582867 | 2 |
| C2×#22582844 | 2 |
| C2×#22582841 | 2 |
| #31823368 | 2 |
| #31823364 | 2 |
| #31823352 | 2 |
| #31823310 | 2 |
| C42×Dic281 | 2 |
| #382×C281 | 2 |
| C4×#124 | 281 |