Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
154 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 67 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. #926 | C2 | semidirect |
| 3. C2×#208 | C2 | semidirect |
| 4. #837 | C2 | semidirect |
| 8. C3×#41 | C4 | semidirect |
| 10. C2×C3×Q8 | C4 | semidirect |
| 12. C2×C3×D4 | C4 | semidirect |
| 17. C4×Dic3 | C22 | semidirect |
| 19. #208 | C22 | semidirect |
| 46. #41 | Dic3 | semidirect |
| 48. C2×Q8 | Dic3 | semidirect |
| 50. C2×D4 | Dic3 | 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×C3×#41 | 2 |
| #926 | 2 |
| C2×#208 | 2 |
| #837 | 2 |
| #421 | 3 |