Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #23752508 | C2 | semidirect |
| 4. #23752507 | C2 | semidirect |
| 5. #23752505 | C2 | semidirect |
| 8. #23752420 | C2 | semidirect |
| 9. #23752419 | C2 | semidirect |
| 11. #462×C151 | C2 | semidirect |
| 95. C4×D151 | Q16 | semidirect |
| 129. C151 | #3249 | semidirect |
| 140. #462 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| #23752766 | 2 |
| #23752508 | 2 |
| #23752507 | 2 |
| #23752505 | 2 |
| #23752452 | 2 |
| #23752450 | 2 |
| #23752420 | 2 |
| #23752419 | 2 |
| C4⋊C8×D151 | 2 |
| #462×C151 | 2 |
| #3249 | 151 |