Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
202 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 73 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. C2×D3×C8 | C2 | semidirect |
| 3. C3×C22⋊C8 | C2 | semidirect |
| 4. #830 | C2 | semidirect |
| 5. (C2×D3)⋊C8 | C2 | semidirect |
| 15. C2×C3×C8 | C22 | semidirect |
| 16. C2×C3⋊C8 | C22 | semidirect |
| 22. C22⋊C8 | D3 | direct (N × H) |
| 26. C22×D3 | C8 | semidirect |
| 51. C2×C8 | C2×D3 | semidirect |
| 54. C22×C3 | C2×C8 | semidirect |
| 61. C2×D3 | C2×C8 | semidirect |
| 90. D3 | C22⋊C8 | direct (N × H) |
| 100. C22 | D3×C8 | semidirect |
| 106. C3 | C2×C22⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×D3 | 2 |
| C2×D3×C8 | 2 |
| C3×C22⋊C8 | 2 |
| #830 | 2 |
| (C2×D3)⋊C8 | 2 |
| C2×C22⋊C8 | 3 |