Finite Group DatabasebetaFinite Group DatabasebetaOrder 36224.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 4. #31826751 | C2 | semidirect |
| 5. #31826676 | C2 | semidirect |
| 7. #31826573 | C2 | semidirect |
| 103. C283 | #3113 | 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 |
| #31826796 | 2 |
| #31826751 | 2 |
| #31826676 | 2 |
| #31826623 | 2 |
| #31826573 | 2 |
| #432×C283 | 2 |
| #3113 | 283 |