Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
377 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 377 conjugacy classes of subgroups — too many to draw. Only its 140 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 |
|---|---|---|
| 9. C3×#812 | C4 | semidirect |
| 41. #812 | Dic3 | semidirect |
| 159. C32 | #1376 | semidirect |
| 190. C3 | #67810 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×C3⋊Dic3 | 2 |
| C2×C3×#812 | 2 |
| #67810 | 3 |