Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 229 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×#22582836 | C2 | semidirect |
| 3. C2×C4⋊C4×D281 | C2 | semidirect |
| 4. #31823369 | C2 | semidirect |
| 5. #31823368 | C2 | semidirect |
| 6. #31823366 | C2 | semidirect |
| 7. #31823339 | C2 | semidirect |
| 8. #31823321 | C2 | semidirect |
| 9. #390×C281 | C2 | semidirect |
| 12. C2×#17985137 | C4 | semidirect |
| 36. C2×Dic562 | C2×C4 | semidirect |
| 42. C22×Dic281 | C2×C4 | semidirect |
| 61. C2×D4×C281 | C2×C4 | semidirect |
| 88. C4×D281 | C22⋊C4 | semidirect |
| 133. C281 | #2311 | semidirect |
| 141. #390 | D281 | semidirect |
| 177. C2×D4 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#17985137 | 2 |
| C2×#22582836 | 2 |
| C2×C4⋊C4×D281 | 2 |
| #31823369 | 2 |
| #31823368 | 2 |
| #31823366 | 2 |
| #31823339 | 2 |
| #31823321 | 2 |
| #390×C281 | 2 |
| #2311 | 281 |