Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #23750354 | C2 | semidirect |
| 3. #23750019 | C2 | semidirect |
| 5. #23749848 | C2 | semidirect |
| 6. #23749836 | C2 | semidirect |
| 7. #23749831 | C2 | semidirect |
| 9. #23749727 | C2 | semidirect |
| 10. C4×Dic596 | C2 | semidirect |
| 11. #446×C149 | C2 | semidirect |
| 121. C149 | #3400 | semidirect |
| 131. #446 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750360 | 2 |
| #23750354 | 2 |
| #23750019 | 2 |
| #23749998 | 2 |
| #23749848 | 2 |
| #23749836 | 2 |
| #23749831 | 2 |
| #23749826 | 2 |
| #23749727 | 2 |
| C4×Dic596 | 2 |
| #446×C149 | 2 |
| #3400 | 149 |