Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
504 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 177 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 |
|---|---|---|
| 47. C4×Dic281 | Q8 | semidirect |
| 55. C42×C281 | Q8 | semidirect |
| 102. C281 | #2399 | semidirect |
| 158. C42 | Dic562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic562 | 2 |
| #31823397 | 2 |
| #31823396 | 2 |
| #31823384 | 2 |
| #31823383 | 2 |
| C4×#17985117 | 2 |
| C4×C4⋊Dic281 | 2 |
| #31823309 | 2 |
| C4×C4⋊C4×C281 | 2 |
| #2399 | 281 |