Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
484 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 484 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 |
|---|---|---|
| 2. #23750631 | C2 | semidirect |
| 3. #23750628 | C2 | semidirect |
| 9. #18011978 | C22 | semidirect |
| 10. C4⋊#11924753 | C22 | semidirect |
| 70. C149 | #2905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558745 | 2 |
| #23750631 | 2 |
| #23750628 | 2 |
| C2×#18011867 | 2 |
| #2905 | 149 |