Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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. #23752228 | C2 | semidirect |
| 3. #23752208 | C2 | semidirect |
| 4. #23752180 | C2 | semidirect |
| 5. #23751983 | C2 | semidirect |
| 6. #23751976 | C2 | semidirect |
| 7. #568×C151 | C2 | semidirect |
| 10. #18012769 | C4 | semidirect |
| 12. #18012764 | C4 | semidirect |
| 118. C151 | #1881 | semidirect |
| 121. #568 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23753010 | 2 |
| #23752228 | 2 |
| #23752208 | 2 |
| #23752180 | 2 |
| #23751983 | 2 |
| #23751976 | 2 |
| #568×C151 | 2 |
| #1881 | 151 |