Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
362 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 133 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. #23749935 | C2 | semidirect |
| 4. #23749931 | C2 | semidirect |
| 5. #23749919 | C2 | semidirect |
| 6. #23749909 | C2 | semidirect |
| 44. C2×Dic298 | Q8 | semidirect |
| 116. C149 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750256 | 2 |
| #23750102 | 2 |
| #23749935 | 2 |
| #23749931 | 2 |
| #23749919 | 2 |
| #23749909 | 2 |
| #23749661 | 2 |
| #23749653 | 2 |
| #23749635 | 2 |
| C2×#18011834 | 2 |
| #428×C149 | 2 |
| #3082 | 149 |