Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#18011933 | C2 | semidirect |
| 3. #23750194 | C2 | semidirect |
| 4. #23750105 | C2 | semidirect |
| 5. #23749848 | C2 | semidirect |
| 6. #23749841 | C2 | semidirect |
| 7. #23749826 | C2 | semidirect |
| 8. #23749821 | C2 | semidirect |
| 9. #23749627 | C2 | semidirect |
| 10. C2×#18011833 | C2 | semidirect |
| 11. #424×C149 | C2 | semidirect |
| 17. C2×Dic596 | C22 | semidirect |
| 19. C2×#14558725 | C22 | semidirect |
| 20. C2×#14558725 | C22 | semidirect |
| 22. C2×D1192 | C22 | semidirect |
| 28. C4×Dic298 | C22 | semidirect |
| 29. C4×D596 | C22 | semidirect |
| 34. #18011836 | C22 | semidirect |
| 37. #18011833 | C22 | semidirect |
| 41. C4⋊C8×C149 | C22 | semidirect |
| 42. C4⋊C8×C149 | C22 | semidirect |
| 47. #14558736 | D4 | semidirect |
| 154. C149 | #3045 | semidirect |
| 164. #424 | D149 | semidirect |
| 192. C4⋊C8 | C2×D149 | semidirect |
| 193. 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 |
| C2×#18011933 | 2 |
| #23750194 | 2 |
| #23750105 | 2 |
| #23749848 | 2 |
| #23749841 | 2 |
| #23749826 | 2 |
| #23749821 | 2 |
| #23749627 | 2 |
| C2×#18011833 | 2 |
| #424×C149 | 2 |
| #3045 | 149 |