Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
342 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14558726 | C2 | semidirect |
| 3. C2×#18011830 | C2 | semidirect |
| 4. C2×#18011829 | C2 | semidirect |
| 6. #23749389 | C2 | semidirect |
| 122. C149 | #2020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011941 | 2 |
| C22×#14558726 | 2 |
| C2×#18011830 | 2 |
| C2×#18011829 | 2 |
| #23749592 | 2 |
| #23749389 | 2 |
| C2×#137×C149 | 2 |
| #2020 | 149 |