Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
484 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 123 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×#18011934 | C2 | semidirect |
| 2. C2×#18011933 | C2 | semidirect |
| 3. #23750277 | C2 | semidirect |
| 4. #23750003 | C2 | semidirect |
| 5. #23749867 | C2 | semidirect |
| 6. #23749829 | C2 | semidirect |
| 7. #23749790 | C2 | semidirect |
| 8. #23749785 | C2 | semidirect |
| 9. #23749707 | C2 | semidirect |
| 10. C8×C22⋊D149 | C2 | semidirect |
| 11. #467×C149 | C2 | semidirect |
| 58. D1192 | D4 | semidirect |
| 129. Dic149 | #135 | semidirect |
| 136. C149 | #3283 | semidirect |
| 143. #467 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011934 | 2 |
| C2×#18011933 | 2 |
| #23750277 | 2 |
| #23750003 | 2 |
| #23749867 | 2 |
| #23749829 | 2 |
| #23749790 | 2 |
| #23749785 | 2 |
| #23749707 | 2 |
| C8×C22⋊D149 | 2 |
| #467×C149 | 2 |
| #3283 | 149 |