Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 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. #23752748 | C2 | semidirect |
| 2. #23752612 | C2 | semidirect |
| 3. #23752597 | C2 | semidirect |
| 4. #23752568 | C2 | semidirect |
| 6. #23752460 | C2 | semidirect |
| 7. #23752323 | C2 | semidirect |
| 8. #23752319 | C2 | semidirect |
| 9. #23752315 | C2 | semidirect |
| 10. M16×Dic151 | C2 | semidirect |
| 11. #470×C151 | C2 | semidirect |
| 109. C151 | #3183 | semidirect |
| 115. #470 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752748 | 2 |
| #23752612 | 2 |
| #23752597 | 2 |
| #23752568 | 2 |
| #23752465 | 2 |
| #23752460 | 2 |
| #23752323 | 2 |
| #23752319 | 2 |
| #23752315 | 2 |
| M16×Dic151 | 2 |
| #470×C151 | 2 |
| #3183 | 151 |