Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 1. #23752762 | C2 | semidirect |
| 2. #23752762 | C2 | semidirect |
| 3. #23752601 | C2 | semidirect |
| 4. #23752572 | C2 | semidirect |
| 5. #23752418 | C2 | semidirect |
| 6. #23752408 | C2 | semidirect |
| 7. #23752359 | C2 | semidirect |
| 8. #432×C151 | C2 | semidirect |
| 117. C151 | #3214 | semidirect |
| 126. #432 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752762 | 2 |
| #23752601 | 2 |
| #23752572 | 2 |
| #23752418 | 2 |
| #23752408 | 2 |
| #23752359 | 2 |
| #432×C151 | 2 |
| #3214 | 151 |