Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#18011936 | C2 | semidirect |
| 2. C22×D1192 | C2 | semidirect |
| 3. #23750189 | C2 | semidirect |
| 4. #23750099 | C2 | semidirect |
| 5. #23749843 | C2 | semidirect |
| 6. #23749819 | C2 | semidirect |
| 7. #23749651 | C2 | semidirect |
| 8. #23749629 | C2 | semidirect |
| 9. #416×C149 | C2 | semidirect |
| 13. C2×#14558723 | C22 | semidirect |
| 16. C2×#14558721 | C22 | semidirect |
| 18. #18011907 | C22 | semidirect |
| 19. #18011900 | C22 | semidirect |
| 23. #18011873 | C22 | semidirect |
| 26. #18011840 | C22 | semidirect |
| 27. #18011831 | C22 | semidirect |
| 31. #103×C149 | C22 | semidirect |
| 32. #102×C149 | C22 | semidirect |
| 40. C2×D596 | D4 | semidirect |
| 121. C149 | #3041 | semidirect |
| 131. #416 | D149 | semidirect |
| 152. #103 | C2×D149 | semidirect |
| 154. #102 | C2×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011936 | 2 |
| C22×D1192 | 2 |
| #23750189 | 2 |
| #23750099 | 2 |
| #23749843 | 2 |
| #23749819 | 2 |
| #23749651 | 2 |
| #23749629 | 2 |
| #416×C149 | 2 |
| #3041 | 149 |