Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
332 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 332 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. #23752769 | C2 | semidirect |
| 2. #23752611 | C2 | semidirect |
| 3. #23752566 | C2 | semidirect |
| 4. #23752550 | C2 | semidirect |
| 6. #23752507 | C2 | semidirect |
| 7. #23752502 | C2 | semidirect |
| 8. #23752497 | C2 | semidirect |
| 9. #23752492 | C2 | semidirect |
| 10. #23752265 | C2 | semidirect |
| 129. C151 | #3233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752611 | 2 |
| #23752566 | 2 |
| #23752550 | 2 |
| #23752533 | 2 |
| #23752507 | 2 |
| #23752502 | 2 |
| #23752497 | 2 |
| #23752492 | 2 |
| #23752265 | 2 |
| #529×C151 | 2 |
| #3233 | 151 |