Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
448 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×Dic596 | C2 | semidirect |
| 3. #23749900 | C2 | direct (N × H) |
| 4. C2×#18011847 | C2 | semidirect |
| 5. C2×#18011829 | C2 | semidirect |
| 13. C2×Dic596 | C22 | semidirect |
| 17. #18011847 | C22 | semidirect |
| 18. #18011829 | C22 | semidirect |
| 101. C2×C149 | #473 | semidirect |
| 103. C149 | C2×#473 | semidirect |
| 205. C2 | #23749900 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011941 | 2 |
| C22×Dic596 | 2 |
| #23749900 | 2 |
| C2×#18011847 | 2 |
| C2×#18011829 | 2 |
| C2×#131×C149 | 2 |
| C2×#473 | 149 |