Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
448 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#14558726 | C2 | semidirect |
| 5. #23749899 | C2 | direct (N × H) |
| 6. C2×#18011846 | C2 | semidirect |
| 7. C2×#18011829 | C2 | semidirect |
| 8. C2×#101×C149 | C2 | semidirect |
| 20. C2×#14558726 | C22 | semidirect |
| 29. #18011846 | C22 | semidirect |
| 30. #18011829 | C22 | semidirect |
| 34. #101×C149 | C22 | semidirect |
| 130. C2×C149 | #473 | semidirect |
| 133. C149 | C2×#473 | semidirect |
| 142. C2×#101 | D149 | semidirect |
| 168. #101 | C2×D149 | semidirect |
| 265. C2 | #23749899 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011944 | 2 |
| C2×#18011942 | 2 |
| C22×#14558726 | 2 |
| C2×#18011919 | 2 |
| #23749899 | 2 |
| C2×#18011846 | 2 |
| C2×#18011829 | 2 |
| C2×#101×C149 | 2 |
| C2×#473 | 149 |