Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
142 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 3. #23752318 | C2 | semidirect |
| 4. #23752027 | C2 | semidirect |
| 6. #23751989 | C2 | semidirect |
| 7. #365×C151 | C2 | semidirect |
| 12. Dic1208 | C4 | semidirect |
| 13. #18012684 | C4 | semidirect |
| 64. C151 | #2180 | semidirect |
| 69. #365 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752655 | 2 |
| #23752333 | 2 |
| #23752318 | 2 |
| #23752027 | 2 |
| #23752021 | 2 |
| #23751989 | 2 |
| #365×C151 | 2 |
| #2180 | 151 |