Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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×#18011908 | C2 | semidirect |
| 2. #23750159 | C2 | semidirect |
| 3. #23750014 | C2 | semidirect |
| 4. #23749990 | C2 | semidirect |
| 5. #23749826 | C2 | semidirect |
| 6. #23749821 | C2 | semidirect |
| 7. #23749778 | C2 | semidirect |
| 8. #23749761 | C2 | semidirect |
| 9. #432×C149 | C2 | semidirect |
| 13. C2×#14558725 | C22 | semidirect |
| 14. C2×D1192 | C22 | semidirect |
| 20. #18011903 | C22 | semidirect |
| 21. #18011899 | C22 | semidirect |
| 25. C4×Dic298 | C22 | semidirect |
| 26. C4×D596 | C22 | semidirect |
| 29. #18011833 | C22 | semidirect |
| 30. #18011833 | C22 | semidirect |
| 32. C4⋊C8×C149 | C22 | semidirect |
| 34. #97×C149 | C22 | semidirect |
| 127. C149 | #3217 | semidirect |
| 137. #432 | D149 | semidirect |
| 158. C4⋊C8 | C2×D149 | semidirect |
| 162. #97 | C2×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011908 | 2 |
| #23750159 | 2 |
| #23750014 | 2 |
| #23749990 | 2 |
| #23749826 | 2 |
| #23749821 | 2 |
| #23749778 | 2 |
| #23749761 | 2 |
| #432×C149 | 2 |
| #3217 | 149 |