Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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. #944 | C2 | semidirect |
| 5. C3×#103 | C2 | semidirect |
| 6. Dic3⋊C8 | C2 | semidirect |
| 7. #810 | C2 | semidirect |
| 28. #103 | D3 | semidirect |
| 68. Dic3 | SD16 | semidirect |
| 100. C3 | #461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #944 | 2 |
| C2×#215 | 2 |
| C2×#204 | 2 |
| #893 | 2 |
| C3×#103 | 2 |
| Dic3⋊C8 | 2 |
| #810 | 2 |
| #461 | 3 |