Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 117 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. #125×D149 | C2 | semidirect |
| 3. #23749992 | C2 | semidirect |
| 4. #23749988 | C2 | semidirect |
| 5. #23749982 | C2 | semidirect |
| 6. #23749980 | C2 | semidirect |
| 7. #23749979 | C2 | semidirect |
| 8. #23749625 | C2 | semidirect |
| 9. #23749623 | C2 | semidirect |
| 10. C4×#14558719 | C2 | semidirect |
| 11. #488×C149 | C2 | semidirect |
| 114. C149 | #3142 | semidirect |
| 123. #488 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750174 | 2 |
| #125×D149 | 2 |
| #23749992 | 2 |
| #23749988 | 2 |
| #23749982 | 2 |
| #23749980 | 2 |
| #23749979 | 2 |
| #23749625 | 2 |
| #23749623 | 2 |
| C4×#14558719 | 2 |
| #488×C149 | 2 |
| #3142 | 149 |