Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
188 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 188 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 |
|---|---|---|
| 2. C3×C22⋊Q8 | C2 | semidirect |
| 3. C2×#215 | C2 | semidirect |
| 4. #830 | C2 | semidirect |
| 5. #809 | C2 | semidirect |
| 8. C2×C3×Q8 | C22 | semidirect |
| 14. C3×C4⋊C4 | C22 | semidirect |
| 17. C2×C3⋊C8 | C22 | semidirect |
| 20. C22⋊Q8 | D3 | semidirect |
| 39. C2×Q8 | C2×D3 | semidirect |
| 47. C4⋊C4 | C2×D3 | semidirect |
| 51. C22×C3 | SD16 | semidirect |
| 87. C22 | #215 | semidirect |
| 93. C3 | #450 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D12 | 2 |
| C3×C22⋊Q8 | 2 |
| C2×#215 | 2 |
| #830 | 2 |
| #809 | 2 |
| #450 | 3 |