Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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×#22583641 | C2 | semidirect |
| 3. C2×Q8×Dic283 | C2 | semidirect |
| 4. #31826689 | C2 | semidirect |
| 5. #31826685 | C2 | semidirect |
| 6. #31826673 | C2 | semidirect |
| 7. #31826663 | C2 | semidirect |
| 8. #31826488 | C2 | semidirect |
| 9. #31826467 | C2 | semidirect |
| 10. #31826466 | C2 | semidirect |
| 11. C2×#137×C283 | C2 | semidirect |
| 80. C2×Q8×C283 | D4 | semidirect |
| 150. Dic283 | #137 | semidirect |
| 157. C283 | #3037 | semidirect |
| 160. C2×#137 | D283 | semidirect |
| 210. C2×Q8 | C22⋊D283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22583641 | 2 |
| #31827011 | 2 |
| C2×Q8×Dic283 | 2 |
| #31826689 | 2 |
| #31826685 | 2 |
| #31826673 | 2 |
| #31826663 | 2 |
| #31826488 | 2 |
| #31826467 | 2 |
| #31826466 | 2 |
| C2×#137×C283 | 2 |
| #3037 | 283 |