Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 1. #23750170 | C2 | semidirect |
| 2. #23749904 | C2 | semidirect |
| 3. #23749903 | C2 | semidirect |
| 4. #23749861 | C2 | semidirect |
| 5. #23749859 | C2 | semidirect |
| 6. #23749819 | C2 | semidirect |
| 7. #23749818 | C2 | semidirect |
| 8. C2×#18011840 | C2 | semidirect |
| 9. #466×C149 | C2 | semidirect |
| 75. C2×Dic149 | D8 | semidirect |
| 115. C149 | #3245 | semidirect |
| 122. #466 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750170 | 2 |
| #23749904 | 2 |
| #23749903 | 2 |
| #23749861 | 2 |
| #23749859 | 2 |
| #23749819 | 2 |
| #23749818 | 2 |
| C2×#18011840 | 2 |
| #466×C149 | 2 |
| #3245 | 149 |