Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
264 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 63 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. #23749651 | C2 | semidirect |
| 3. #23749622 | C2 | semidirect |
| 4. #23749599 | C2 | semidirect |
| 5. #23749598 | C2 | semidirect |
| 6. #23749381 | C2 | semidirect |
| 7. #416×C149 | C2 | semidirect |
| 118. C149 | #2053 | 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 |
| #23749651 | 2 |
| #23749622 | 2 |
| #23749599 | 2 |
| #23749598 | 2 |
| #23749381 | 2 |
| #416×C149 | 2 |
| #2053 | 149 |