Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
560 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 161 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×#22582838 | C2 | semidirect |
| 3. #31823403 | C2 | semidirect |
| 4. #31823400 | C2 | semidirect |
| 5. #31823395 | C2 | semidirect |
| 6. #31823390 | C2 | semidirect |
| 7. #31823388 | C2 | semidirect |
| 9. C4×C4⋊Dic281 | C2 | semidirect |
| 10. C4×#17985115 | C2 | semidirect |
| 11. C4×C22⋊C4×C281 | C2 | semidirect |
| 137. C281 | #2395 | semidirect |
| 149. C4×C22⋊C4 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D281 | 2 |
| C2×#22582838 | 2 |
| #31823403 | 2 |
| #31823400 | 2 |
| #31823395 | 2 |
| #31823390 | 2 |
| #31823388 | 2 |
| #31823379 | 2 |
| C4×C4⋊Dic281 | 2 |
| C4×#17985115 | 2 |
| C4×C22⋊C4×C281 | 2 |
| #2395 | 281 |