Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
392 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 154 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. #23750650 | C2 | semidirect |
| 2. #23750649 | C2 | semidirect |
| 3. #23750630 | C2 | semidirect |
| 4. #23750629 | C2 | semidirect |
| 6. C4×#14558746 | C2 | semidirect |
| 10. #18011978 | C22 | semidirect |
| 11. C4⋊#11924753 | C22 | semidirect |
| 14. #18011966 | C22 | semidirect |
| 15. C4×#11924753 | C22 | semidirect |
| 104. C149 | #2921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750650 | 2 |
| #23750649 | 2 |
| #23750630 | 2 |
| #23750629 | 2 |
| #23750596 | 2 |
| C4×#14558746 | 2 |
| #117×D149 | 2 |
| #2921 | 149 |