Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
338 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 338 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 |
|---|---|---|
| 1. Q8×Dic302 | C2 | semidirect |
| 3. #23752562 | C2 | semidirect |
| 5. #23752497 | C2 | semidirect |
| 7. #23752419 | C2 | semidirect |
| 8. #23752343 | C2 | semidirect |
| 9. #23752317 | C2 | semidirect |
| 116. C151 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic302 | 2 |
| #23752571 | 2 |
| #23752562 | 2 |
| #23752502 | 2 |
| #23752497 | 2 |
| #23752431 | 2 |
| #23752419 | 2 |
| #23752343 | 2 |
| #23752317 | 2 |
| C4×#14558992 | 2 |
| #556×C151 | 2 |
| #3369 | 151 |