Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
326 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 125 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. #23750030 | C2 | semidirect |
| 4. #23750023 | C2 | semidirect |
| 5. #23749976 | C2 | semidirect |
| 6. #23749976 | C2 | semidirect |
| 8. #23749933 | C2 | semidirect |
| 102. C149 | #3231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750182 | 2 |
| #23750030 | 2 |
| #23750023 | 2 |
| #23749976 | 2 |
| #23749967 | 2 |
| #23749933 | 2 |
| #431×C149 | 2 |
| #3231 | 149 |