Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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. C2×#18011876 | C2 | semidirect |
| 3. #23749938 | C2 | semidirect |
| 4. #23749919 | C2 | semidirect |
| 5. #23749824 | C2 | semidirect |
| 6. #23749766 | C2 | semidirect |
| 7. #23749763 | C2 | semidirect |
| 8. #23749724 | C2 | semidirect |
| 9. #23749722 | C2 | semidirect |
| 10. #23749679 | C2 | semidirect |
| 11. #480×C149 | C2 | semidirect |
| 86. Dic298 | #41 | semidirect |
| 140. C149 | #3112 | semidirect |
| 145. #480 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750170 | 2 |
| C2×#18011876 | 2 |
| #23749938 | 2 |
| #23749919 | 2 |
| #23749824 | 2 |
| #23749766 | 2 |
| #23749763 | 2 |
| #23749724 | 2 |
| #23749722 | 2 |
| #23749679 | 2 |
| #480×C149 | 2 |
| #3112 | 149 |