Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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. #23752757 | C2 | semidirect |
| 2. #23752491 | C2 | semidirect |
| 3. #23752490 | C2 | semidirect |
| 4. #23752448 | C2 | semidirect |
| 5. #23752446 | C2 | semidirect |
| 6. #23752406 | C2 | semidirect |
| 7. #23752405 | C2 | semidirect |
| 8. C2×Dic151⋊C8 | C2 | semidirect |
| 9. #466×C151 | C2 | semidirect |
| 75. C2×Dic151 | D8 | semidirect |
| 115. C151 | #3245 | semidirect |
| 122. #466 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752757 | 2 |
| #23752491 | 2 |
| #23752490 | 2 |
| #23752448 | 2 |
| #23752446 | 2 |
| #23752406 | 2 |
| #23752405 | 2 |
| C2×Dic151⋊C8 | 2 |
| #466×C151 | 2 |
| #3245 | 151 |