Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
596 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 177 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. #31826365 | C2 | semidirect |
| 3. #31826354 | C2 | semidirect |
| 4. #31826350 | C2 | semidirect |
| 5. #31826343 | C2 | semidirect |
| 6. #31826341 | C2 | semidirect |
| 7. C4×C22⋊Dic283 | C2 | semidirect |
| 8. #31826312 | C2 | semidirect |
| 9. #381×C283 | C2 | semidirect |
| 13. #22583584 | C4 | semidirect |
| 38. C2×C22⋊D283 | C2×C4 | semidirect |
| 45. C4⋊Dic283 | C2×C4 | semidirect |
| 51. (C2×D283)⋊C4 | C2×C4 | semidirect |
| 58. C22×C4×C283 | C2×C4 | semidirect |
| 134. C283 | #2333 | semidirect |
| 142. #381 | D283 | semidirect |
| 183. C22×C4 | C4×D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583584 | 2 |
| #31826365 | 2 |
| #31826354 | 2 |
| #31826350 | 2 |
| #31826343 | 2 |
| #31826341 | 2 |
| C4×C22⋊Dic283 | 2 |
| #31826312 | 2 |
| #381×C283 | 2 |
| #2333 | 283 |