Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 133 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. C4⋊Q8×D283 | C2 | semidirect |
| 4. #31826676 | C2 | semidirect |
| 5. #31826674 | C2 | semidirect |
| 6. #31826672 | C2 | semidirect |
| 7. #31826670 | C2 | semidirect |
| 8. #31826668 | C2 | semidirect |
| 9. #31826487 | C2 | semidirect |
| 10. #31826472 | C2 | semidirect |
| 11. #461×C283 | C2 | semidirect |
| 131. C4×C283 | #137 | semidirect |
| 139. Dic283 | #137 | semidirect |
| 145. C283 | #3039 | semidirect |
| 155. #461 | D283 | semidirect |
| 283. C4 | #22583639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583639 | 2 |
| C4⋊Q8×D283 | 2 |
| C4×#17985391 | 2 |
| #31826676 | 2 |
| #31826674 | 2 |
| #31826672 | 2 |
| #31826670 | 2 |
| #31826668 | 2 |
| #31826487 | 2 |
| #31826472 | 2 |
| #461×C283 | 2 |
| #3039 | 283 |