Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
652 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 209 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. C2×#22583575 | C2 | semidirect |
| 4. #31826370 | C2 | semidirect |
| 6. #31826354 | C2 | semidirect |
| 7. #31826312 | C2 | semidirect |
| 8. C42×Dic283 | C2 | semidirect |
| 9. #382×C283 | C2 | semidirect |
| 13. #22583598 | C4 | semidirect |
| 33. C2×Dic566 | C2×C4 | semidirect |
| 46. (C2×D283)⋊C4 | C2×C4 | semidirect |
| 58. C42×C283 | C2×C4 | semidirect |
| 105. Dic283 | #124 | semidirect |
| 112. C283 | C4×#124 | semidirect |
| 120. #382 | D283 | semidirect |
| 171. C42 | C4×D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583598 | 2 |
| C2×#22583575 | 2 |
| C2×#22583572 | 2 |
| #31826370 | 2 |
| #31826366 | 2 |
| #31826354 | 2 |
| #31826312 | 2 |
| C42×Dic283 | 2 |
| #382×C283 | 2 |
| C4×#124 | 283 |