Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. #23752558 | C2 | semidirect |
| 2. #23752503 | C2 | semidirect |
| 4. #23752289 | C2 | semidirect |
| 5. #23751964 | C2 | semidirect |
| 6. #23751960 | C2 | semidirect |
| 7. #331×C151 | C2 | semidirect |
| 82. C151 | #1697 | semidirect |
| 90. #331 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752558 | 2 |
| #23752503 | 2 |
| #23752404 | 2 |
| #23752289 | 2 |
| #23751964 | 2 |
| #23751960 | 2 |
| #331×C151 | 2 |
| #1697 | 151 |