Finite Group DatabasebetaFinite Group DatabasebetaOrder 19904.
104 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 47 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. #23755714 | C2 | semidirect |
| 3. #23755643 | C2 | semidirect |
| 4. #23755635 | C2 | semidirect |
| 5. #23755634 | C2 | semidirect |
| 6. #23755618 | C2 | semidirect |
| 7. #131×C311 | C2 | semidirect |
| 9. #19097305 | C4 | semidirect |
| 10. #19097303 | C4 | semidirect |
| 11. #19097302 | C4 | semidirect |
| 12. #19097300 | C4 | semidirect |
| 51. C311 | #444 | semidirect |
| 55. #131 | D311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23755728 | 2 |
| #23755714 | 2 |
| #23755643 | 2 |
| #23755635 | 2 |
| #23755634 | 2 |
| #23755618 | 2 |
| #131×C311 | 2 |
| #444 | 311 |