Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
106 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 39 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. #926 | C2 | semidirect |
| 3. C3×C22⋊C8 | C2 | semidirect |
| 4. #821 | C2 | semidirect |
| 5. #821 | C2 | semidirect |
| 6. #818 | C2 | semidirect |
| 7. #817 | C2 | semidirect |
| 26. C22⋊C8 | D3 | semidirect |
| 97. C3 | #482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #930 | 2 |
| #926 | 2 |
| C3×C22⋊C8 | 2 |
| #821 | 2 |
| #818 | 2 |
| #817 | 2 |
| #482 | 3 |