Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
234 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. C2×C4⋊Dic3 | C2 | semidirect |
| 5. C3⋊#95 | C2 | semidirect |
| 14. C3×C22⋊C4 | C4 | semidirect |
| 30. C2×C3×C4 | C2×C4 | semidirect |
| 48. C22⋊C4 | Dic3 | semidirect |
| 53. C22×C3 | C4⋊C4 | semidirect |
| 79. C2×C4 | C2×Dic3 | semidirect |
| 90. C22 | C4⋊Dic3 | semidirect |
| 100. C3 | #385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic3 | 2 |
| C2×C3×C22⋊C4 | 2 |
| C2×#217 | 2 |
| C2×C4⋊Dic3 | 2 |
| C3⋊#95 | 2 |
| #385 | 3 |