Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
310 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 85 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. #23750392 | C2 | semidirect |
| 3. #23749643 | C2 | semidirect |
| 4. #23749591 | C2 | semidirect |
| 5. #23749395 | C2 | semidirect |
| 6. #23749390 | C2 | semidirect |
| 7. #416×C149 | C2 | semidirect |
| 10. #18011941 | C4 | semidirect |
| 12. #18011936 | C4 | semidirect |
| 118. C149 | #1881 | semidirect |
| 123. #416 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750423 | 2 |
| #23750392 | 2 |
| #23749643 | 2 |
| #23749591 | 2 |
| #23749395 | 2 |
| #23749390 | 2 |
| #416×C149 | 2 |
| #1881 | 149 |