Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#18011909 | C2 | semidirect |
| 5. #23749834 | C2 | semidirect |
| 6. #23749829 | C2 | semidirect |
| 7. #23749648 | C2 | semidirect |
| 8. #23749633 | C2 | semidirect |
| 9. #419×C149 | C2 | semidirect |
| 116. Dic149 | #137 | semidirect |
| 121. C149 | #3039 | semidirect |
| 131. #419 | 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×#18011942 | 2 |
| C2×#18011909 | 2 |
| #23750093 | 2 |
| #23749834 | 2 |
| #23749829 | 2 |
| #23749648 | 2 |
| #23749633 | 2 |
| #419×C149 | 2 |
| #3039 | 149 |