Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #23752767 | C2 | semidirect |
| 3. #23752551 | C2 | semidirect |
| 4. #23752507 | C2 | semidirect |
| 5. #23752503 | C2 | semidirect |
| 6. #23752414 | C2 | semidirect |
| 8. #23752319 | C2 | semidirect |
| 9. #23752315 | C2 | semidirect |
| 10. #23752268 | C2 | semidirect |
| 11. #462×C151 | C2 | semidirect |
| 136. C151 | #3116 | semidirect |
| 143. #462 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| C4×#14559005 | 2 |
| #23752551 | 2 |
| #23752507 | 2 |
| #23752503 | 2 |
| #23752414 | 2 |
| #23752373 | 2 |
| #23752319 | 2 |
| #23752315 | 2 |
| #23752268 | 2 |
| #462×C151 | 2 |
| #3116 | 151 |