Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
552 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 185 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. #31823357 | C2 | semidirect |
| 3. #31823357 | C2 | semidirect |
| 4. #31823344 | C2 | semidirect |
| 6. C4×#17985117 | C2 | semidirect |
| 7. C22⋊C4×Dic281 | C2 | semidirect |
| 8. C22⋊C4×Dic281 | C2 | semidirect |
| 12. #22582860 | C4 | semidirect |
| 36. C22×Dic281 | C2×C4 | semidirect |
| 42. #17985117 | C2×C4 | semidirect |
| 46. C22⋊Dic281 | C2×C4 | semidirect |
| 126. C281 | #2374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582860 | 2 |
| #31823357 | 2 |
| #31823344 | 2 |
| #31823343 | 2 |
| C4×#17985117 | 2 |
| C22⋊C4×Dic281 | 2 |
| #390×C281 | 2 |
| #2374 | 281 |