Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
360 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. M16×Dic281 | C2 | semidirect |
| 5. C42×Dic281 | C2 | semidirect |
| 6. #31823222 | C2 | semidirect |
| 7. #339×C281 | C2 | semidirect |
| 10. #22582844 | C4 | semidirect |
| 11. #22582841 | C4 | semidirect |
| 18. #22582807 | C4 | semidirect |
| 19. #22582805 | C4 | semidirect |
| 37. #17985122 | C2×C4 | semidirect |
| 45. C4×Dic281 | C2×C4 | semidirect |
| 51. M16×C281 | C2×C4 | semidirect |
| 57. C42×C281 | C2×C4 | semidirect |
| 60. Dic562 | C42 | semidirect |
| 62. D1124 | C42 | semidirect |
| 101. Dic281 | #104 | semidirect |
| 107. C281 | C4×#104 | semidirect |
| 115. #339 | D281 | semidirect |
| 149. M16 | C4×D281 | semidirect |
| 165. C42 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823931 | 2 |
| C2×#22582807 | 2 |
| C2×#22582805 | 2 |
| M16×Dic281 | 2 |
| C42×Dic281 | 2 |
| #31823222 | 2 |
| #339×C281 | 2 |
| C4×#104 | 281 |