Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 129 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×#18011939 | C2 | semidirect |
| 2. #23750271 | C2 | semidirect |
| 3. #23750009 | C2 | semidirect |
| 4. #23749871 | C2 | semidirect |
| 5. #23749841 | C2 | semidirect |
| 6. #23749789 | C2 | semidirect |
| 7. #23749761 | C2 | semidirect |
| 8. C4×D1192 | C2 | semidirect |
| 9. #436×C149 | C2 | semidirect |
| 11. C22×D596 | C22 | semidirect |
| 13. C2×Dic596 | C22 | semidirect |
| 14. C2×#14558725 | C22 | semidirect |
| 15. C2×#14558725 | C22 | semidirect |
| 19. #18011899 | C22 | semidirect |
| 21. #18011890 | C22 | semidirect |
| 25. C4×D596 | C22 | semidirect |
| 27. #18011845 | C22 | semidirect |
| 28. #18011836 | C22 | semidirect |
| 29. #18011833 | C22 | semidirect |
| 30. #18011833 | C22 | semidirect |
| 31. C2×M16×C149 | C22 | semidirect |
| 33. C4⋊C8×C149 | C22 | semidirect |
| 34. C22⋊C8×C149 | C22 | semidirect |
| 35. C4×C8×C149 | C22 | semidirect |
| 54. D1192 | D4 | semidirect |
| 124. C149 | #3273 | semidirect |
| 134. #436 | D149 | semidirect |
| 144. C2×M16 | C2×D149 | semidirect |
| 155. C4⋊C8 | C2×D149 | semidirect |
| 159. C22⋊C8 | C2×D149 | semidirect |
| 160. C4×C8 | C2×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011939 | 2 |
| #23750271 | 2 |
| #23750009 | 2 |
| #23749871 | 2 |
| #23749841 | 2 |
| #23749789 | 2 |
| #23749761 | 2 |
| C4×D1192 | 2 |
| #436×C149 | 2 |
| #3273 | 149 |