Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#18012758 | C2 | semidirect |
| 2. C22×Dic604 | C2 | semidirect |
| 3. #23752868 | C2 | semidirect |
| 4. #23752595 | C2 | semidirect |
| 5. #23752454 | C2 | semidirect |
| 6. #23752433 | C2 | semidirect |
| 7. #23752375 | C2 | semidirect |
| 8. #23752350 | C2 | semidirect |
| 9. #23752306 | C2 | semidirect |
| 10. C8×C22⋊D151 | C2 | semidirect |
| 11. #466×C151 | C2 | semidirect |
| 55. Dic604 | D4 | semidirect |
| 116. C22×C151 | #135 | semidirect |
| 136. C151 | #3285 | semidirect |
| 143. #466 | D151 | semidirect |
| 256. C22 | #18012758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012758 | 2 |
| C22×Dic604 | 2 |
| #23752868 | 2 |
| #23752595 | 2 |
| #23752454 | 2 |
| #23752433 | 2 |
| #23752375 | 2 |
| #23752350 | 2 |
| #23752306 | 2 |
| C8×C22⋊D151 | 2 |
| #466×C151 | 2 |
| #3285 | 151 |