Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
472 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 472 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. C2×#18011919 | C2 | semidirect |
| 3. #23749741 | C2 | direct (N × H) |
| 4. C2×#18011837 | C2 | semidirect |
| 5. C2×C8×Dic149 | C2 | semidirect |
| 6. C2×#108×C149 | C2 | semidirect |
| 8. #18011933 | C4 | semidirect |
| 10. C2×Dic596 | C4 | semidirect |
| 11. C2×#14558725 | C4 | semidirect |
| 12. C2×D1192 | C4 | semidirect |
| 14. #18011919 | C22 | semidirect |
| 19. #18011837 | C22 | semidirect |
| 20. C8×Dic149 | C22 | semidirect |
| 23. #108×C149 | C22 | semidirect |
| 33. Dic596 | C2×C4 | semidirect |
| 34. #14558725 | C2×C4 | semidirect |
| 35. D1192 | C2×C4 | semidirect |
| 90. C2×C149 | #443 | semidirect |
| 93. C149 | C2×#443 | semidirect |
| 98. C2×#108 | D149 | semidirect |
| 115. #108 | C2×D149 | semidirect |
| 185. C2 | #23749741 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011933 | 2 |
| C2×#18011919 | 2 |
| #23749741 | 2 |
| C2×#18011837 | 2 |
| C2×C8×Dic149 | 2 |
| C2×#108×C149 | 2 |
| C2×#443 | 149 |