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 |
|---|---|---|
| 3. #23750632 | C2 | semidirect |
| 4. #23750631 | C2 | semidirect |
| 5. #23750630 | C2 | semidirect |
| 6. #23750629 | C2 | semidirect |
| 17. #18011978 | C22 | semidirect |
| 18. C4⋊#11924753 | C22 | semidirect |
| 101. C149 | #2905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558746 | 2 |
| C2×D149⋊M16 | 2 |
| #23750632 | 2 |
| #23750631 | 2 |
| #23750630 | 2 |
| #23750629 | 2 |
| #117×D149 | 2 |
| #2905 | 149 |