Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 115 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. #23749909 | C2 | semidirect |
| 4. #23749907 | C2 | semidirect |
| 7. #23749836 | C2 | semidirect |
| 8. #23749835 | C2 | semidirect |
| 9. #23749834 | C2 | semidirect |
| 11. #475×C149 | C2 | semidirect |
| 129. C149 | #3255 | semidirect |
| 135. #475 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750180 | 2 |
| #23750179 | 2 |
| #23749909 | 2 |
| #23749907 | 2 |
| #23749884 | 2 |
| #23749882 | 2 |
| #23749836 | 2 |
| #23749835 | 2 |
| #23749834 | 2 |
| #23749647 | 2 |
| #475×C149 | 2 |
| #3255 | 149 |