Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#18011942 | C2 | semidirect |
| 3. #23750105 | C2 | semidirect |
| 4. #23749844 | C2 | semidirect |
| 5. #23749837 | C2 | semidirect |
| 6. #23749832 | C2 | semidirect |
| 7. #23749827 | C2 | semidirect |
| 8. #23749652 | C2 | semidirect |
| 9. #23749626 | C2 | semidirect |
| 10. C2×#18011835 | C2 | semidirect |
| 11. #536×C149 | C2 | semidirect |
| 146. C149 | #3046 | semidirect |
| 150. #536 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011942 | 2 |
| C2×#18011931 | 2 |
| #23750105 | 2 |
| #23749844 | 2 |
| #23749837 | 2 |
| #23749832 | 2 |
| #23749827 | 2 |
| #23749652 | 2 |
| #23749626 | 2 |
| C2×#18011835 | 2 |
| #536×C149 | 2 |
| #3046 | 149 |