Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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. #23752948 | C2 | semidirect |
| 2. #23752919 | C2 | semidirect |
| 3. #23752565 | C2 | semidirect |
| 4. #23752558 | C2 | semidirect |
| 5. #23752510 | C2 | semidirect |
| 6. #23752508 | C2 | semidirect |
| 7. #23752425 | C2 | semidirect |
| 8. #23752336 | C2 | semidirect |
| 9. C4×#14558992 | C2 | semidirect |
| 10. D8×Dic151 | C2 | semidirect |
| 122. C151 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752948 | 2 |
| #23752919 | 2 |
| #23752565 | 2 |
| #23752558 | 2 |
| #23752510 | 2 |
| #23752508 | 2 |
| #23752425 | 2 |
| #23752336 | 2 |
| C4×#14558992 | 2 |
| D8×Dic151 | 2 |
| #459×C151 | 2 |
| #3361 | 151 |