Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 39 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. D3×C4⋊C4 | C2 | semidirect |
| 3. C3×#106 | C2 | semidirect |
| 4. #821 | C2 | semidirect |
| 5. (C2×D3)⋊C8 | C2 | semidirect |
| 6. #809 | C2 | semidirect |
| 7. #808 | C2 | semidirect |
| 23. #106 | D3 | semidirect |
| 99. C3 | #481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #895 | 2 |
| D3×C4⋊C4 | 2 |
| C3×#106 | 2 |
| #821 | 2 |
| (C2×D3)⋊C8 | 2 |
| #809 | 2 |
| #808 | 2 |
| #481 | 3 |