Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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. #23750344 | C2 | semidirect |
| 2. #23750016 | C2 | semidirect |
| 3. #23749844 | C2 | semidirect |
| 5. #23749833 | C2 | semidirect |
| 6. #23749755 | C2 | semidirect |
| 7. #23749726 | C2 | semidirect |
| 8. C4×Dic596 | C2 | semidirect |
| 102. C149 | #3402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750344 | 2 |
| #23750016 | 2 |
| #23749844 | 2 |
| #23749838 | 2 |
| #23749833 | 2 |
| #23749755 | 2 |
| #23749726 | 2 |
| C4×Dic596 | 2 |
| #495×C149 | 2 |
| #3402 | 149 |