Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
484 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 255 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. #23749653 | C2 | semidirect |
| 4. #23749651 | C2 | semidirect |
| 5. #23749648 | C2 | semidirect |
| 6. C2×#18011840 | C2 | semidirect |
| 75. Dic149 | #131 | semidirect |
| 80. C149 | #2906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011918 | 2 |
| #41×Dic149 | 2 |
| #23749653 | 2 |
| #23749651 | 2 |
| #23749648 | 2 |
| C2×#18011840 | 2 |
| C2×#131×C149 | 2 |
| #2906 | 149 |