Finite Group DatabasebetaFinite Group DatabasebetaOrder 13851.
236 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 236 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 |
|---|---|---|
| 3. C19⋊#6862 | C3 | semidirect |
| 4. C19⋊#6862 | C3 | semidirect |
| 5. C19×#6862 | C3 | semidirect |
| 34. #6862 | C19⋊C3 | semidirect |
| 78. C19 | #10624670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #17987420 | 3 |
| #17987419 | 3 |
| C19⋊#6862 | 3 |
| C19×#6862 | 3 |
| #10624670 | 19 |