Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
552 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#22583642 | C2 | semidirect |
| 2. C2×#22583639 | C2 | semidirect |
| 4. C4⋊Q8×D283 | C2 | semidirect |
| 5. #31826860 | C2 | semidirect |
| 6. #31826859 | C2 | semidirect |
| 7. #31826857 | C2 | semidirect |
| 8. #31826843 | C2 | semidirect |
| 9. #31826836 | C2 | semidirect |
| 10. #31826417 | C2 | semidirect |
| 11. #497×C283 | C2 | semidirect |
| 63. #17985375 | D4 | semidirect |
| 124. Dic283 | #137 | semidirect |
| 130. C283 | #3152 | semidirect |
| 139. #497 | D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583642 | 2 |
| C2×#22583639 | 2 |
| #31827014 | 2 |
| C4⋊Q8×D283 | 2 |
| #31826860 | 2 |
| #31826859 | 2 |
| #31826857 | 2 |
| #31826843 | 2 |
| #31826836 | 2 |
| #31826417 | 2 |
| #497×C283 | 2 |
| #3152 | 283 |