Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
202 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 63 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×D3×C8 | C2 | semidirect |
| 3. D3×C4⋊C4 | C2 | semidirect |
| 4. C3×#102 | C2 | semidirect |
| 5. #832 | C2 | semidirect |
| 6. #821 | C2 | semidirect |
| 7. #809 | C2 | semidirect |
| 13. D3×D4 | C4 | semidirect |
| 17. C2×C3×C8 | C22 | semidirect |
| 18. C3×C4⋊C4 | C22 | semidirect |
| 19. C4⋊Dic3 | C22 | semidirect |
| 21. C2×C3⋊C8 | C22 | semidirect |
| 29. #102 | D3 | direct (N × H) |
| 37. C3×D4 | C2×C4 | semidirect |
| 44. D12 | C2×C4 | semidirect |
| 60. C2×C8 | C2×D3 | semidirect |
| 63. C4⋊C4 | C2×D3 | semidirect |
| 90. D4 | C4×D3 | semidirect |
| 105. D3 | #102 | direct (N × H) |
| 122. C3 | C2×#102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×D4 | 2 |
| C2×D3×C8 | 2 |
| D3×C4⋊C4 | 2 |
| C3×#102 | 2 |
| #832 | 2 |
| #821 | 2 |
| #809 | 2 |
| C2×#102 | 3 |