Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#18011847 | C2 | semidirect |
| 3. #23749626 | C2 | semidirect |
| 4. C2×#18011833 | C2 | semidirect |
| 5. C2×#18011827 | C2 | semidirect |
| 6. #23749393 | C2 | semidirect |
| 7. #408×C149 | C2 | semidirect |
| 116. C149 | #2051 | semidirect |
| 123. #408 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011936 | 2 |
| C2×#18011847 | 2 |
| #23749626 | 2 |
| C2×#18011833 | 2 |
| C2×#18011827 | 2 |
| #23749393 | 2 |
| #408×C149 | 2 |
| #2051 | 149 |