Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
438 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 438 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. #23752763 | C2 | semidirect |
| 2. #23752763 | C2 | semidirect |
| 3. #23752589 | C2 | semidirect |
| 4. #23752586 | C2 | semidirect |
| 5. #23752560 | C2 | semidirect |
| 6. #23752430 | C2 | semidirect |
| 7. #23752360 | C2 | semidirect |
| 8. #23752263 | C2 | semidirect |
| 9. #487×C151 | C2 | semidirect |
| 120. C151 | #3207 | semidirect |
| 126. #487 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752763 | 2 |
| #23752589 | 2 |
| #23752586 | 2 |
| #23752560 | 2 |
| #23752430 | 2 |
| #23752360 | 2 |
| #23752263 | 2 |
| #487×C151 | 2 |
| #3207 | 151 |