Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. #23752818 | C2 | semidirect |
| 2. #23752589 | C2 | semidirect |
| 3. #23752578 | C2 | semidirect |
| 4. #23752466 | C2 | semidirect |
| 5. #23752449 | C2 | semidirect |
| 6. #23752323 | C2 | semidirect |
| 7. #23752294 | C2 | semidirect |
| 8. #23752166 | C2 | semidirect |
| 9. #499×C151 | C2 | semidirect |
| 84. C151 | #3176 | semidirect |
| 87. #499 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752818 | 2 |
| #23752589 | 2 |
| #23752578 | 2 |
| #23752466 | 2 |
| #23752449 | 2 |
| #23752323 | 2 |
| #23752294 | 2 |
| #23752166 | 2 |
| #499×C151 | 2 |
| #3176 | 151 |