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. #23750350 | C2 | semidirect |
| 3. #23749974 | C2 | semidirect |
| 4. #23749908 | C2 | semidirect |
| 5. #23749907 | C2 | semidirect |
| 8. C8×Dic298 | C2 | semidirect |
| 11. #487×C149 | C2 | semidirect |
| 78. Dic298 | SD16 | semidirect |
| 118. C149 | #3359 | semidirect |
| 123. #487 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750350 | 2 |
| #23750290 | 2 |
| #23749974 | 2 |
| #23749908 | 2 |
| #23749907 | 2 |
| #23749829 | 2 |
| #23749827 | 2 |
| C8×Dic298 | 2 |
| C4×#14558725 | 2 |
| #23749710 | 2 |
| #487×C149 | 2 |
| #3359 | 149 |