Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
286 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 83 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. C23×Dic3 | C2 | semidirect |
| 3. C2×C3×C22⋊C4 | C2 | semidirect |
| 4. C2×(C2×D3)⋊C4 | C2 | semidirect |
| 5. C3⋊#95 | C2 | semidirect |
| 12. C2×#67 | C4 | semidirect |
| 22. C2×C22⋊C4 | D3 | semidirect |
| 34. C22×D3 | C2×C4 | semidirect |
| 44. C2×Dic3 | C2×C4 | semidirect |
| 45. C2×Dic3 | D4 | semidirect |
| 62. C22×C3 | C22⋊C4 | semidirect |
| 114. C22 | (C2×D3)⋊C4 | semidirect |
| 123. C3 | #386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67 | 2 |
| C23×Dic3 | 2 |
| C2×C3×C22⋊C4 | 2 |
| C2×(C2×D3)⋊C4 | 2 |
| C3⋊#95 | 2 |
| #386 | 3 |