Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 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 |
|---|---|---|
| 2. C22×#14558725 | C2 | semidirect |
| 3. #23750196 | C2 | semidirect |
| 4. #23750099 | C2 | semidirect |
| 5. #23749839 | C2 | semidirect |
| 6. #23749829 | C2 | semidirect |
| 7. #23749651 | C2 | semidirect |
| 8. #23749633 | C2 | semidirect |
| 9. #416×C149 | C2 | semidirect |
| 18. #18011909 | C22 | semidirect |
| 19. #18011898 | C22 | semidirect |
| 26. #18011840 | C22 | semidirect |
| 27. #18011834 | C22 | semidirect |
| 31. #103×C149 | C22 | semidirect |
| 32. #102×C149 | C22 | semidirect |
| 116. C149 | #3042 | semidirect |
| 126. #416 | D149 | semidirect |
| 148. #103 | C2×D149 | semidirect |
| 149. #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×#14558725 | 2 |
| #23750196 | 2 |
| #23750099 | 2 |
| #23749839 | 2 |
| #23749829 | 2 |
| #23749651 | 2 |
| #23749633 | 2 |
| #416×C149 | 2 |
| #3042 | 149 |