Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
380 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 79 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. #31823936 | C2 | semidirect |
| 3. C2×#22582794 | C2 | semidirect |
| 4. C2×#22582793 | C2 | semidirect |
| 5. #31823230 | C2 | semidirect |
| 6. #31823229 | C2 | semidirect |
| 7. C2×#99×C281 | C2 | semidirect |
| 9. #22582862 | C4 | semidirect |
| 12. #22582848 | C4 | semidirect |
| 47. C22⋊Dic281 | C2×C4 | semidirect |
| 48. C22⋊Dic281 | D4 | semidirect |
| 52. C24×C281 | C2×C4 | semidirect |
| 62. C22×C4×C281 | C2×C4 | semidirect |
| 66. C22⋊C4×C281 | D4 | semidirect |
| 148. C281 | #1913 | semidirect |
| 154. C2×#99 | D281 | semidirect |
| 177. C24 | C4×D281 | semidirect |
| 199. C22×C4 | C4×D281 | semidirect |
| 214. C22⋊C4 | C22⋊D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31824022 | 2 |
| #31823936 | 2 |
| C2×#22582794 | 2 |
| C2×#22582793 | 2 |
| #31823230 | 2 |
| #31823229 | 2 |
| C2×#99×C281 | 2 |
| #1913 | 281 |