Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 2. C4⋊Q8×D149 | C2 | semidirect |
| 4. #23749835 | C2 | semidirect |
| 5. #23749833 | C2 | semidirect |
| 6. #23749831 | C2 | semidirect |
| 7. #23749829 | C2 | semidirect |
| 8. #23749827 | C2 | semidirect |
| 9. #23749647 | C2 | semidirect |
| 10. #23749632 | C2 | semidirect |
| 11. #462×C149 | C2 | semidirect |
| 132. C4×C149 | #137 | semidirect |
| 139. Dic149 | #137 | semidirect |
| 145. C149 | #3039 | semidirect |
| 152. #462 | D149 | semidirect |
| 283. C4 | #18011943 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011943 | 2 |
| C4⋊Q8×D149 | 2 |
| C4×#14558737 | 2 |
| #23749835 | 2 |
| #23749833 | 2 |
| #23749831 | 2 |
| #23749829 | 2 |
| #23749827 | 2 |
| #23749647 | 2 |
| #23749632 | 2 |
| #462×C149 | 2 |
| #3039 | 149 |