Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
292 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. C2×C8×Dic283 | C2 | semidirect |
| 5. #31826364 | C2 | semidirect |
| 6. #31826227 | C2 | semidirect |
| 7. #340×C283 | C2 | semidirect |
| 16. #22583530 | C4 | semidirect |
| 118. C283 | #1934 | semidirect |
| 126. #340 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583532 | 2 |
| C2×#22583530 | 2 |
| C2×C8×Dic283 | 2 |
| #31826366 | 2 |
| #31826364 | 2 |
| #31826227 | 2 |
| #340×C283 | 2 |
| #1934 | 283 |