Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 1. #23750353 | C2 | semidirect |
| 3. #23749977 | C2 | semidirect |
| 4. #23749974 | C2 | semidirect |
| 5. #23749909 | C2 | semidirect |
| 8. #23749749 | C2 | semidirect |
| 11. #475×C149 | C2 | semidirect |
| 78. Dic298 | SD16 | semidirect |
| 118. C149 | #3359 | semidirect |
| 125. #475 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750353 | 2 |
| #23750290 | 2 |
| #23749977 | 2 |
| #23749974 | 2 |
| #23749909 | 2 |
| #23749831 | 2 |
| #23749829 | 2 |
| #23749749 | 2 |
| C4×#14558723 | 2 |
| #23749712 | 2 |
| #475×C149 | 2 |
| #3359 | 149 |