Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
366 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 113 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. #23752619 | C2 | semidirect |
| 4. #23752575 | C2 | semidirect |
| 5. #23752538 | C2 | semidirect |
| 6. #23752534 | C2 | semidirect |
| 7. #23752499 | C2 | semidirect |
| 8. #23752493 | C2 | semidirect |
| 9. #23752492 | C2 | semidirect |
| 10. #23752268 | C2 | semidirect |
| 11. #476×C151 | C2 | semidirect |
| 138. C151 | #3235 | semidirect |
| 147. #476 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| #23752759 | 2 |
| #23752619 | 2 |
| #23752575 | 2 |
| #23752538 | 2 |
| #23752534 | 2 |
| #23752499 | 2 |
| #23752493 | 2 |
| #23752492 | 2 |
| #23752268 | 2 |
| #476×C151 | 2 |
| #3235 | 151 |