Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
144 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 58 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. #23750684 | C2 | semidirect |
| 2. #23750547 | C2 | semidirect |
| 3. #23750524 | C2 | semidirect |
| 4. #23750514 | C2 | semidirect |
| 49. C149 | #2171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750684 | 2 |
| #23750547 | 2 |
| #23750524 | 2 |
| #23750514 | 2 |
| #23749741 | 2 |
| #2171 | 149 |