Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #23752947 | C2 | semidirect |
| 2. #23752923 | C2 | semidirect |
| 3. #23752568 | C2 | semidirect |
| 4. #23752560 | C2 | semidirect |
| 5. #23752515 | C2 | semidirect |
| 6. #23752430 | C2 | semidirect |
| 8. #23752336 | C2 | semidirect |
| 9. C4×#14558991 | C2 | semidirect |
| 10. #23752294 | C2 | semidirect |
| 11. #477×C151 | C2 | semidirect |
| 122. C151 | #3361 | semidirect |
| 129. #477 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752947 | 2 |
| #23752923 | 2 |
| #23752568 | 2 |
| #23752560 | 2 |
| #23752515 | 2 |
| #23752430 | 2 |
| #23752408 | 2 |
| #23752336 | 2 |
| C4×#14558991 | 2 |
| #23752294 | 2 |
| #477×C151 | 2 |
| #3361 | 151 |