Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
300 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 300 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 |
|---|---|---|
| 4. C2×C8×Dic149 | C2 | semidirect |
| 5. #23749389 | C2 | semidirect |
| 6. #23749384 | C2 | semidirect |
| 7. #405×C149 | C2 | semidirect |
| 10. #18011917 | C4 | semidirect |
| 16. #18011837 | C4 | semidirect |
| 17. #18011834 | C4 | semidirect |
| 18. #18011831 | C4 | semidirect |
| 98. C149 | #1764 | semidirect |
| 103. #405 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011917 | 2 |
| C2×#18011837 | 2 |
| #23749619 | 2 |
| C2×C8×Dic149 | 2 |
| #23749389 | 2 |
| #23749384 | 2 |
| #405×C149 | 2 |
| #1764 | 149 |