Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
332 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 1. #23752767 | C2 | semidirect |
| 3. #23752613 | C2 | semidirect |
| 4. #23752568 | C2 | semidirect |
| 5. #23752552 | C2 | semidirect |
| 7. #23752499 | C2 | semidirect |
| 8. #23752497 | C2 | semidirect |
| 9. #23752493 | C2 | semidirect |
| 10. #23752264 | C2 | semidirect |
| 11. #477×C151 | C2 | semidirect |
| 129. C151 | #3233 | semidirect |
| 137. #477 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| #23752749 | 2 |
| #23752613 | 2 |
| #23752568 | 2 |
| #23752552 | 2 |
| #23752539 | 2 |
| #23752499 | 2 |
| #23752497 | 2 |
| #23752493 | 2 |
| #23752264 | 2 |
| #477×C151 | 2 |
| #3233 | 151 |