Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
322 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 322 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. #23752621 | C2 | semidirect |
| 4. #23752581 | C2 | semidirect |
| 6. #23752508 | C2 | semidirect |
| 7. #23752498 | C2 | semidirect |
| 98. C151 | #3237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752769 | 2 |
| #23752621 | 2 |
| #23752581 | 2 |
| #23752554 | 2 |
| #23752508 | 2 |
| #23752498 | 2 |
| #432×C151 | 2 |
| #3237 | 151 |