Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
106 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 45 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. #948 | C2 | semidirect |
| 3. #907 | C2 | semidirect |
| 4. C3×#104 | C2 | semidirect |
| 5. #822 | C2 | semidirect |
| 6. #805 | C2 | semidirect |
| 7. C4×C3⋊C8 | C2 | semidirect |
| 13. #216 | C4 | semidirect |
| 14. #215 | C4 | semidirect |
| 15. #214 | C4 | semidirect |
| 16. #213 | C4 | semidirect |
| 29. #104 | D3 | semidirect |
| 98. C3 | #443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #950 | 2 |
| #948 | 2 |
| #907 | 2 |
| C3×#104 | 2 |
| #822 | 2 |
| #805 | 2 |
| C4×C3⋊C8 | 2 |
| #443 | 3 |