Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
388 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 123 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. #23752562 | C2 | semidirect |
| 4. #23752546 | C2 | semidirect |
| 5. #23752508 | C2 | semidirect |
| 6. #23752450 | C2 | semidirect |
| 7. #23752366 | C2 | semidirect |
| 8. C4×#14558994 | C2 | semidirect |
| 10. #103×D151 | C2 | semidirect |
| 11. #462×C151 | C2 | semidirect |
| 81. D604 | Q16 | semidirect |
| 122. C151 | #3299 | semidirect |
| 130. #462 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752922 | 2 |
| #23752877 | 2 |
| #23752562 | 2 |
| #23752546 | 2 |
| #23752508 | 2 |
| #23752450 | 2 |
| #23752366 | 2 |
| C4×#14558994 | 2 |
| #23752277 | 2 |
| #103×D151 | 2 |
| #462×C151 | 2 |
| #3299 | 151 |