Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
376 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
| 47. C2×Dic298 | Q8 | semidirect |
| 129. C149 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750178 | 2 |
| C2×#18011876 | 2 |
| #23749935 | 2 |
| #23749931 | 2 |
| #23749919 | 2 |
| #23749909 | 2 |
| #23749665 | 2 |
| #23749648 | 2 |
| #23749635 | 2 |
| #23749633 | 2 |
| #428×C149 | 2 |
| #3078 | 149 |