Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 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×C42 | C2 | semidirect |
| 4. C2×C4×Dic3 | C2 | semidirect |
| 5. C3⋊#95 | C2 | semidirect |
| 14. C2×C4×D3 | C4 | semidirect |
| 16. (C2×D3)⋊C4 | C4 | direct (N × H) |
| 21. C2×C42 | D3 | semidirect |
| 32. C2×C3×C4 | C2×C4 | semidirect |
| 40. C2×Dic3 | C2×C4 | semidirect |
| 62. C2×D3 | C42 | semidirect |
| 64. C3×C4 | C22⋊C4 | semidirect |
| 83. C2×C4 | C4×D3 | semidirect |
| 105. C4 | (C2×D3)⋊C4 | direct (N × H) |
| 106. C3 | C4×C22⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×D3 | 2 |
| C2×C3×C42 | 2 |
| C2×(C2×D3)⋊C4 | 2 |
| C2×C4×Dic3 | 2 |
| C3⋊#95 | 2 |
| C4×C22⋊C4 | 3 |