Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×Dic562 | C2 | semidirect |
| 4. #31823369 | C2 | semidirect |
| 6. #31823355 | C2 | semidirect |
| 7. #31823337 | C2 | semidirect |
| 8. #31823333 | C2 | semidirect |
| 9. #376×C281 | C2 | semidirect |
| 13. #22582867 | C4 | semidirect |
| 33. C2×Dic562 | C2×C4 | semidirect |
| 48. #17985115 | C2×C4 | semidirect |
| 56. C42×C281 | C2×C4 | semidirect |
| 111. C281 | #2326 | semidirect |
| 121. #376 | D281 | semidirect |
| 168. C42 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582867 | 2 |
| C2×C4×Dic562 | 2 |
| C2×C4×D1124 | 2 |
| #31823369 | 2 |
| #31823365 | 2 |
| #31823355 | 2 |
| #31823337 | 2 |
| #31823333 | 2 |
| #376×C281 | 2 |
| #2326 | 281 |