Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
210 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 53 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. D3×C22⋊C4 | C2 | semidirect |
| 3. C3×#99 | C2 | semidirect |
| 4. #834 | C2 | semidirect |
| 5. #806 | C2 | semidirect |
| 7. C23×D3 | C4 | semidirect |
| 10. C2×#67 | C4 | semidirect |
| 14. C2×D12 | C4 | semidirect |
| 16. C2×C4×D3 | C4 | semidirect |
| 17. C3×C22⋊C4 | C22 | semidirect |
| 18. #217 | C22 | semidirect |
| 24. #99 | D3 | direct (N × H) |
| 25. C23×C3 | C2×C4 | semidirect |
| 33. C22×D3 | C2×C4 | semidirect |
| 38. C2×C3×C4 | C2×C4 | semidirect |
| 42. C2×Dic3 | C2×C4 | semidirect |
| 59. C22⋊C4 | C2×D3 | semidirect |
| 89. C23 | C4×D3 | semidirect |
| 101. C2×C4 | C4×D3 | semidirect |
| 109. D3 | #99 | direct (N × H) |
| 130. C3 | C2×#99 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×D4 | 2 |
| D3×C22⋊C4 | 2 |
| C3×#99 | 2 |
| #834 | 2 |
| #806 | 2 |
| C2×#99 | 3 |