Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
154 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 59 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×#117 | C2 | semidirect |
| 3. C2×#208 | C2 | semidirect |
| 4. #805 | C2 | semidirect |
| 10. #235 | C4 | semidirect |
| 12. C2×D12 | C4 | semidirect |
| 14. C2×Dic6 | C4 | semidirect |
| 17. C3×C42 | C22 | semidirect |
| 19. #208 | C22 | semidirect |
| 23. #117 | D3 | semidirect |
| 58. C42 | C2×D3 | semidirect |
| 107. C3 | #421 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#235 | 2 |
| C3×#117 | 2 |
| C2×#208 | 2 |
| #805 | 2 |
| #421 | 3 |