Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
104 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. C3×#131 | C2 | semidirect |
| 3. #901 | C2 | semidirect |
| 4. #837 | C2 | semidirect |
| 5. #825 | C2 | semidirect |
| 6. #822 | C2 | semidirect |
| 7. #815 | C2 | semidirect |
| 15. #216 | C4 | semidirect |
| 16. #215 | C4 | semidirect |
| 17. #214 | C4 | semidirect |
| 18. #213 | C4 | semidirect |
| 26. #131 | D3 | semidirect |
| 98. C3 | #444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#131 | 2 |
| #950 | 2 |
| #901 | 2 |
| #837 | 2 |
| #825 | 2 |
| #822 | 2 |
| #815 | 2 |
| #444 | 3 |