Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
764 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 202 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. C22×#14558745 | C2 | semidirect |
| 2. #23750598 | C2 | semidirect |
| 3. #23750597 | C2 | semidirect |
| 4. #23750595 | C2 | semidirect |
| 8. C2×#14558745 | C22 | semidirect |
| 9. C22×#11924753 | C22 | semidirect |
| 10. #18011968 | C22 | semidirect |
| 11. C22⋊#11924753 | C22 | semidirect |
| 107. C149 | #2879 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558745 | 2 |
| #23750598 | 2 |
| #23750597 | 2 |
| #23750595 | 2 |
| C22×#14558735 | 2 |
| #2879 | 149 |