Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
392 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 392 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. #23750355 | C2 | semidirect |
| 3. #23749970 | C2 | semidirect |
| 4. #23749913 | C2 | semidirect |
| 5. #23749912 | C2 | semidirect |
| 6. #23749824 | C2 | semidirect |
| 7. #23749822 | C2 | semidirect |
| 8. C8×Dic298 | C2 | semidirect |
| 9. #23749716 | C2 | semidirect |
| 10. C4×#14558725 | C2 | semidirect |
| 11. #486×C149 | C2 | semidirect |
| 77. Dic298 | SD16 | semidirect |
| 78. Dic298 | #41 | semidirect |
| 125. C149 | #3362 | semidirect |
| 130. #486 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750355 | 2 |
| #23750295 | 2 |
| #23749970 | 2 |
| #23749913 | 2 |
| #23749912 | 2 |
| #23749824 | 2 |
| #23749822 | 2 |
| C8×Dic298 | 2 |
| #23749716 | 2 |
| C4×#14558725 | 2 |
| #486×C149 | 2 |
| #3362 | 149 |