Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
484 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 162 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. #23750574 | C2 | semidirect |
| 3. #23750571 | C2 | semidirect |
| 4. #23750569 | C2 | semidirect |
| 6. C4×C4⋊#10597010 | C2 | semidirect |
| 17. #18011870 | C4 | semidirect |
| 18. #18011869 | C4 | semidirect |
| 19. #18011868 | C4 | semidirect |
| 20. #18011868 | C4 | semidirect |
| 21. #18011867 | C4 | semidirect |
| 26. #117×C149 | C4 | semidirect |
| 121. C149 | #2314 | semidirect |
| 136. #117 | #10597010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750575 | 2 |
| #23750574 | 2 |
| #23750571 | 2 |
| #23750569 | 2 |
| #23750567 | 2 |
| C4×C4⋊#10597010 | 2 |
| #117×D149 | 2 |
| #2314 | 149 |