Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 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. #23749999 | C2 | semidirect |
| 4. #23749996 | C2 | semidirect |
| 5. #23749829 | C2 | semidirect |
| 6. #23749826 | C2 | semidirect |
| 7. #23749823 | C2 | semidirect |
| 8. #23749749 | C2 | semidirect |
| 9. C4×#14558724 | C2 | semidirect |
| 10. #23749710 | C2 | semidirect |
| 11. #461×C149 | C2 | semidirect |
| 80. Dic298 | SD16 | semidirect |
| 93. #11924746 | #41 | semidirect |
| 128. C149 | #3392 | semidirect |
| 135. #461 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750350 | 2 |
| #23750296 | 2 |
| #23749999 | 2 |
| #23749996 | 2 |
| #23749829 | 2 |
| #23749826 | 2 |
| #23749823 | 2 |
| #23749749 | 2 |
| C4×#14558724 | 2 |
| #23749710 | 2 |
| #461×C149 | 2 |
| #3392 | 149 |