Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #23750182 | C2 | semidirect |
| 2. #23750020 | C2 | semidirect |
| 3. #23749984 | C2 | semidirect |
| 4. #23749844 | C2 | semidirect |
| 5. #23749781 | C2 | semidirect |
| 7. #23749682 | C2 | semidirect |
| 9. C2×#14558726 | C22 | semidirect |
| 11. #18011911 | C22 | semidirect |
| 12. #18011911 | C22 | semidirect |
| 17. C4×Dic298 | C22 | semidirect |
| 19. C4⋊#11924746 | C22 | semidirect |
| 20. #18011835 | C22 | semidirect |
| 23. #18011822 | C22 | semidirect |
| 112. C149 | #3215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750182 | 2 |
| #23750020 | 2 |
| #23749984 | 2 |
| #23749844 | 2 |
| #23749781 | 2 |
| #23749776 | 2 |
| #23749682 | 2 |
| C2×#124×C149 | 2 |
| #3215 | 149 |