Finite Group DatabasebetaFinite Group DatabasebetaOrder 192.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 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 |
|---|---|---|
| 4. C3×#103 | C2 | semidirect |
| 5. #835 | C2 | semidirect |
| 6. #816 | C2 | semidirect |
| 7. #810 | C2 | semidirect |
| 11. D3×Q8 | C4 | semidirect |
| 29. #103 | D3 | direct (N × H) |
| 32. C3×Q8 | C2×C4 | semidirect |
| 45. Dic6 | C2×C4 | semidirect |
| 78. Q8 | C4×D3 | semidirect |
| 94. D3 | #103 | direct (N × H) |
| 106. C3 | C2×#103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×Q8 | 2 |
| C2×D3×C8 | 2 |
| D3×C4⋊C4 | 2 |
| C3×#103 | 2 |
| #835 | 2 |
| #816 | 2 |
| #810 | 2 |
| C2×#103 | 3 |