Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #23750350 | C2 | semidirect |
| 3. #23749978 | C2 | semidirect |
| 4. #23749923 | C2 | semidirect |
| 5. #23749907 | C2 | semidirect |
| 6. #23749846 | C2 | semidirect |
| 8. C8×Dic298 | C2 | semidirect |
| 9. C4×Dic596 | C2 | semidirect |
| 10. #23749716 | C2 | semidirect |
| 117. C149 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750361 | 2 |
| #23750350 | 2 |
| #23749978 | 2 |
| #23749923 | 2 |
| #23749907 | 2 |
| #23749846 | 2 |
| #23749822 | 2 |
| C8×Dic298 | 2 |
| C4×Dic596 | 2 |
| #23749716 | 2 |
| #486×C149 | 2 |
| #3365 | 149 |