Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
376 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 145 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. #31826773 | C2 | semidirect |
| 4. #31826761 | C2 | semidirect |
| 5. #31826751 | C2 | semidirect |
| 37. C2×Dic566 | Q8 | semidirect |
| 106. C283 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31827022 | 2 |
| C2×C4×Dic566 | 2 |
| #31826773 | 2 |
| #31826761 | 2 |
| #31826751 | 2 |
| #31826507 | 2 |
| #31826475 | 2 |
| #423×C283 | 2 |
| #3078 | 283 |