Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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×C4×Dic298 | C2 | semidirect |
| 2. #23749958 | C2 | semidirect |
| 4. #23749929 | C2 | semidirect |
| 5. #23749844 | C2 | semidirect |
| 6. #23749780 | C2 | semidirect |
| 8. #23749730 | C2 | semidirect |
| 9. #23749725 | C2 | semidirect |
| 10. #23749682 | C2 | semidirect |
| 131. C149 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic298 | 2 |
| #23749958 | 2 |
| #23749941 | 2 |
| #23749929 | 2 |
| #23749844 | 2 |
| #23749780 | 2 |
| #23749763 | 2 |
| #23749730 | 2 |
| #23749725 | 2 |
| #23749682 | 2 |
| #529×C149 | 2 |
| #3117 | 149 |