Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
218 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 69 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. #23749493 | C2 | semidirect |
| 3. #23749363 | C2 | semidirect |
| 5. #431×C149 | C2 | semidirect |
| 7. #18011903 | C4 | semidirect |
| 8. #18011899 | C4 | semidirect |
| 12. C4×Dic298 | C4 | semidirect |
| 13. C4×D596 | C4 | semidirect |
| 92. C149 | #1521 | semidirect |
| 95. #431 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750159 | 2 |
| #23749493 | 2 |
| #23749363 | 2 |
| #23749360 | 2 |
| #431×C149 | 2 |
| #1521 | 149 |