Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
168 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 51 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. #23752498 | C2 | semidirect |
| 4. #23752339 | C2 | semidirect |
| 5. #23751964 | C2 | semidirect |
| 6. #23751959 | C2 | semidirect |
| 51. C151⋊C8 | SD16 | semidirect |
| 79. C151 | #1686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752584 | 2 |
| #23752498 | 2 |
| #23752409 | 2 |
| #23752339 | 2 |
| #23751964 | 2 |
| #23751959 | 2 |
| #331×C151 | 2 |
| #1686 | 151 |