Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 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. #23752616 | C2 | semidirect |
| 4. #23752561 | C2 | semidirect |
| 7. #23752508 | C2 | semidirect |
| 8. #23752507 | C2 | semidirect |
| 9. #23752504 | C2 | semidirect |
| 11. #477×C151 | C2 | semidirect |
| 128. C151 | #3230 | semidirect |
| 139. #477 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752766 | 2 |
| C4⋊Q8×D151 | 2 |
| #23752616 | 2 |
| #23752561 | 2 |
| #23752549 | 2 |
| #23752546 | 2 |
| #23752508 | 2 |
| #23752507 | 2 |
| #23752504 | 2 |
| #23752264 | 2 |
| #477×C151 | 2 |
| #3230 | 151 |