Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #23749996 | C2 | semidirect |
| 4. #23749828 | C2 | semidirect |
| 5. #23749827 | C2 | semidirect |
| 6. #23749823 | C2 | semidirect |
| 7. #23749822 | C2 | semidirect |
| 8. C8×Dic298 | C2 | semidirect |
| 9. C4×#14558725 | C2 | semidirect |
| 10. SD16×Dic149 | C2 | semidirect |
| 11. #492×C149 | C2 | semidirect |
| 80. Dic298 | SD16 | semidirect |
| 105. C8×C149 | #41 | semidirect |
| 128. C149 | #3392 | semidirect |
| 133. #492 | D149 | semidirect |
| 234. C8 | #14558735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750350 | 2 |
| #23750295 | 2 |
| #23749996 | 2 |
| #23749828 | 2 |
| #23749827 | 2 |
| #23749823 | 2 |
| #23749822 | 2 |
| C8×Dic298 | 2 |
| C4×#14558725 | 2 |
| SD16×Dic149 | 2 |
| #492×C149 | 2 |
| #3392 | 149 |