Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 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. #23750360 | C2 | semidirect |
| 2. #23750014 | C2 | semidirect |
| 3. #23750009 | C2 | semidirect |
| 4. #23749848 | C2 | semidirect |
| 5. #23749841 | C2 | semidirect |
| 6. #23749821 | C2 | semidirect |
| 7. #23749727 | C2 | semidirect |
| 8. C4×D1192 | C2 | semidirect |
| 9. #446×C149 | C2 | semidirect |
| 108. C149 | #3403 | semidirect |
| 116. #446 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750360 | 2 |
| #23750014 | 2 |
| #23750009 | 2 |
| #23749848 | 2 |
| #23749841 | 2 |
| #23749821 | 2 |
| #23749727 | 2 |
| C4×D1192 | 2 |
| #446×C149 | 2 |
| #3403 | 149 |