Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
353 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 353 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 |
|---|---|---|
| 10. C2×C3×C3⋊C16 | C4 | semidirect |
| 42. C2×C3⋊C16 | Dic3 | semidirect |
| 159. C32 | #1375 | semidirect |
| 190. C3 | #67811 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63642 | 2 |
| C2×C3×#812 | 2 |
| #67811 | 3 |