Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #23752792 | C2 | semidirect |
| 2. #23752541 | C2 | semidirect |
| 3. #23752532 | C2 | semidirect |
| 4. #23752465 | C2 | semidirect |
| 5. #23752443 | C2 | semidirect |
| 6. #23752373 | C2 | semidirect |
| 7. #23752360 | C2 | semidirect |
| 8. #23752180 | C2 | semidirect |
| 9. #470×C151 | C2 | semidirect |
| 117. C151 | #3204 | semidirect |
| 122. #470 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752792 | 2 |
| #23752541 | 2 |
| #23752532 | 2 |
| #23752465 | 2 |
| #23752443 | 2 |
| #23752373 | 2 |
| #23752360 | 2 |
| #23752180 | 2 |
| #470×C151 | 2 |
| #3204 | 151 |