Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 2. C4⋊Q8×D151 | C2 | semidirect |
| 3. #23752609 | C2 | semidirect |
| 4. #23752557 | C2 | semidirect |
| 5. #23752532 | C2 | semidirect |
| 6. #23752529 | C2 | semidirect |
| 7. #23752503 | C2 | semidirect |
| 8. #23752502 | C2 | semidirect |
| 9. #23752499 | C2 | semidirect |
| 10. #23752264 | C2 | semidirect |
| 11. #476×C151 | C2 | semidirect |
| 141. C151 | #3227 | semidirect |
| 152. #476 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752759 | 2 |
| C4⋊Q8×D151 | 2 |
| #23752609 | 2 |
| #23752557 | 2 |
| #23752532 | 2 |
| #23752529 | 2 |
| #23752503 | 2 |
| #23752502 | 2 |
| #23752499 | 2 |
| #23752264 | 2 |
| #476×C151 | 2 |
| #3227 | 151 |