Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
506 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 506 conjugacy classes of subgroups — too many to draw. Only its 95 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. C2×C3×C22⋊C4 | C2 | semidirect |
| 3. C2×#217 | C2 | semidirect |
| 4. C2×(C2×D3)⋊C4 | C2 | semidirect |
| 10. C23×D3 | C4 | semidirect |
| 12. C22×C3×C4 | C22 | semidirect |
| 13. C22×Dic3 | C22 | semidirect |
| 20. C2×C22⋊C4 | D3 | semidirect |
| 46. C22×C4 | C2×D3 | semidirect |
| 53. C22×C3 | C22⋊C4 | semidirect |
| 63. C2×D3 | C22⋊C4 | semidirect |
| 99. C22 | (C2×D3)⋊C4 | semidirect |
| 106. C3 | #379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C24×D3 | 2 |
| C2×C3×C22⋊C4 | 2 |
| C2×#217 | 2 |
| C2×(C2×D3)⋊C4 | 2 |
| #379 | 3 |