Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
104 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 37 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 |
|---|---|---|
| 1. C2×C3×SD16 | C2 | semidirect |
| 2. #942 | C2 | semidirect |
| 4. #901 | C2 | semidirect |
| 5. #836 | C2 | semidirect |
| 6. #833 | C2 | semidirect |
| 7. #819 | C2 | semidirect |
| 26. C2×SD16 | D3 | semidirect |
| 98. C3 | #471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×SD16 | 2 |
| #942 | 2 |
| #932 | 2 |
| #901 | 2 |
| #836 | 2 |
| #833 | 2 |
| #819 | 2 |
| #471 | 3 |