Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
322 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #23752620 | C2 | semidirect |
| 4. #23752579 | C2 | semidirect |
| 7. #23752504 | C2 | semidirect |
| 8. #23752498 | C2 | semidirect |
| 9. #23752497 | C2 | semidirect |
| 11. #477×C151 | C2 | semidirect |
| 125. C151 | #3237 | semidirect |
| 134. #477 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| #23752766 | 2 |
| #23752620 | 2 |
| #23752579 | 2 |
| #23752555 | 2 |
| #23752551 | 2 |
| #23752504 | 2 |
| #23752498 | 2 |
| #23752497 | 2 |
| #23752268 | 2 |
| #477×C151 | 2 |
| #3237 | 151 |