Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
334 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 77 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×#22582786 | C2 | semidirect |
| 3. #31823201 | C2 | semidirect |
| 4. #31823198 | C2 | semidirect |
| 5. #407×C281 | C2 | semidirect |
| 6. C2×#17985138 | C4 | semidirect |
| 9. #22582858 | C4 | semidirect |
| 11. #22582853 | C4 | semidirect |
| 16. #22582838 | C4 | semidirect |
| 24. C2×Dic562 | C2×C4 | semidirect |
| 25. C2×D1124 | C2×C4 | semidirect |
| 34. C4⋊Dic281 | C2×C4 | semidirect |
| 35. C4⋊Dic281 | C2×C4 | semidirect |
| 119. C281 | #1504 | semidirect |
| 122. #407 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823974 | 2 |
| C2×#22582786 | 2 |
| #31823201 | 2 |
| #31823198 | 2 |
| #407×C281 | 2 |
| #1504 | 281 |