Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
438 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 117 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. #23752760 | C2 | semidirect |
| 2. #23752760 | C2 | semidirect |
| 3. #23752584 | C2 | semidirect |
| 4. #23752563 | C2 | semidirect |
| 5. #23752558 | C2 | semidirect |
| 6. #23752425 | C2 | semidirect |
| 7. #23752354 | C2 | semidirect |
| 8. #23752263 | C2 | semidirect |
| 9. #493×C151 | C2 | semidirect |
| 120. C151 | #3207 | semidirect |
| 124. #493 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752760 | 2 |
| #23752584 | 2 |
| #23752563 | 2 |
| #23752558 | 2 |
| #23752425 | 2 |
| #23752354 | 2 |
| #23752263 | 2 |
| #493×C151 | 2 |
| #3207 | 151 |