Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 117 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. #23752556 | C2 | semidirect |
| 4. #23752544 | C2 | semidirect |
| 5. #23752504 | C2 | semidirect |
| 6. #23752494 | C2 | semidirect |
| 7. #23752471 | C2 | semidirect |
| 8. C4×Dic604 | C2 | semidirect |
| 10. #23752251 | C2 | semidirect |
| 11. #498×C151 | C2 | semidirect |
| 116. C151 | #3356 | semidirect |
| 120. #498 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752936 | 2 |
| #23752923 | 2 |
| #23752556 | 2 |
| #23752544 | 2 |
| #23752504 | 2 |
| #23752494 | 2 |
| #23752471 | 2 |
| C4×Dic604 | 2 |
| #23752291 | 2 |
| #23752251 | 2 |
| #498×C151 | 2 |
| #3356 | 151 |