Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
540 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 181 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. #31823367 | C2 | semidirect |
| 3. #31823354 | C2 | semidirect |
| 4. #31823353 | C2 | semidirect |
| 6. #31823334 | C2 | semidirect |
| 7. #31823331 | C2 | semidirect |
| 8. C4×#17985115 | C2 | semidirect |
| 9. C4×C4⋊C4×C281 | C2 | semidirect |
| 13. #22582867 | C4 | semidirect |
| 34. C2×Dic562 | C2×C4 | semidirect |
| 47. #17985115 | C2×C4 | semidirect |
| 48. #17985115 | C2×C4 | semidirect |
| 58. C42×C281 | C2×C4 | semidirect |
| 118. C281 | #2337 | semidirect |
| 127. C4×C4⋊C4 | D281 | semidirect |
| 177. 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 |
| #31823367 | 2 |
| #31823354 | 2 |
| #31823353 | 2 |
| #31823341 | 2 |
| #31823334 | 2 |
| #31823331 | 2 |
| C4×#17985115 | 2 |
| C4×C4⋊C4×C281 | 2 |
| #2337 | 281 |