Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#18011944 | C2 | semidirect |
| 3. #23750196 | C2 | semidirect |
| 4. #23750106 | C2 | semidirect |
| 5. #23749846 | C2 | semidirect |
| 6. #23749839 | C2 | semidirect |
| 7. #23749834 | C2 | semidirect |
| 8. #23749829 | C2 | semidirect |
| 9. #23749653 | C2 | semidirect |
| 10. C2×#18011834 | C2 | semidirect |
| 11. #417×C149 | C2 | semidirect |
| 146. C149 | #3046 | semidirect |
| 157. #417 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011944 | 2 |
| C2×#18011931 | 2 |
| #23750196 | 2 |
| #23750106 | 2 |
| #23749846 | 2 |
| #23749839 | 2 |
| #23749834 | 2 |
| #23749829 | 2 |
| #23749653 | 2 |
| C2×#18011834 | 2 |
| #417×C149 | 2 |
| #3046 | 149 |