Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
378 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 378 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 |
|---|---|---|
| 2. #23749966 | C2 | semidirect |
| 3. #23749963 | C2 | semidirect |
| 4. #23749881 | C2 | semidirect |
| 5. #23749864 | C2 | semidirect |
| 6. #23749781 | C2 | semidirect |
| 7. #23749780 | C2 | semidirect |
| 130. C149 | #3202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750196 | 2 |
| #23749966 | 2 |
| #23749963 | 2 |
| #23749881 | 2 |
| #23749864 | 2 |
| #23749781 | 2 |
| #23749780 | 2 |
| #23749592 | 2 |
| #536×C149 | 2 |
| #3202 | 149 |