Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 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. #23749932 | C2 | semidirect |
| 4. #23749835 | C2 | semidirect |
| 6. #23749730 | C2 | semidirect |
| 7. C4×#14558726 | C2 | semidirect |
| 95. C149 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750237 | 2 |
| #23749966 | 2 |
| #23749932 | 2 |
| #23749835 | 2 |
| #23749781 | 2 |
| #23749730 | 2 |
| C4×#14558726 | 2 |
| #23749686 | 2 |
| #519×C149 | 2 |
| #3127 | 149 |