Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 3. #23750029 | C2 | semidirect |
| 4. #23749974 | C2 | semidirect |
| 8. #23749919 | C2 | semidirect |
| 9. #23749918 | C2 | semidirect |
| 124. C149 | #3230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750177 | 2 |
| C2×#18011910 | 2 |
| #23750029 | 2 |
| #23749974 | 2 |
| #23749961 | 2 |
| #23749960 | 2 |
| #23749958 | 2 |
| #23749919 | 2 |
| #23749918 | 2 |
| #23749675 | 2 |
| #484×C149 | 2 |
| #3230 | 149 |