Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #23750026 | C2 | semidirect |
| 3. #23750003 | C2 | semidirect |
| 4. #23749992 | C2 | semidirect |
| 7. #23749729 | C2 | semidirect |
| 8. Q16×Dic149 | C2 | semidirect |
| 9. #23749719 | C2 | semidirect |
| 111. C149 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750235 | 2 |
| #23750026 | 2 |
| #23750003 | 2 |
| #23749992 | 2 |
| #23749881 | 2 |
| #23749866 | 2 |
| #23749729 | 2 |
| Q16×Dic149 | 2 |
| #23749719 | 2 |
| #23749580 | 2 |
| #467×C149 | 2 |
| #3177 | 149 |