Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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. #23750099 | C2 | semidirect |
| 3. #23749736 | C2 | semidirect |
| 4. #23749707 | C2 | semidirect |
| 5. #23749629 | C2 | semidirect |
| 6. #23749580 | C2 | semidirect |
| 7. #427×C149 | C2 | semidirect |
| 9. C2×D1192 | C4 | semidirect |
| 14. #18011873 | C22 | semidirect |
| 17. #18011831 | C22 | semidirect |
| 18. #18011821 | C22 | semidirect |
| 19. C8×Dic149 | C22 | semidirect |
| 22. #107×C149 | C22 | semidirect |
| 23. #106×C149 | C22 | semidirect |
| 27. C2×D596 | C2×C4 | semidirect |
| 30. D1192 | C2×C4 | semidirect |
| 31. D1192 | C2×C4 | semidirect |
| 39. C2×C8×C149 | C2×C4 | semidirect |
| 77. C149 | #2948 | semidirect |
| 83. #427 | D149 | semidirect |
| 97. #107 | C2×D149 | semidirect |
| 98. #106 | C2×D149 | semidirect |
| 113. C2×C8 | C4×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D1192 | 2 |
| #23750099 | 2 |
| #23749736 | 2 |
| #23749707 | 2 |
| #23749629 | 2 |
| #23749580 | 2 |
| #427×C149 | 2 |
| #2948 | 149 |