Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
118 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 41 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. #888 | C2 | semidirect |
| 3. C3×#102 | C2 | semidirect |
| 4. #832 | C2 | semidirect |
| 5. #821 | C2 | semidirect |
| 6. C8×Dic3 | C2 | semidirect |
| 7. #809 | C2 | semidirect |
| 25. #102 | D3 | semidirect |
| 101. C3 | #486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #940 | 2 |
| #888 | 2 |
| C3×#102 | 2 |
| #832 | 2 |
| #821 | 2 |
| C8×Dic3 | 2 |
| #809 | 2 |
| #486 | 3 |