Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1824 conjugacy classes of subgroups.
The subgroup lattice has 207 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. C32×#95 | C4 | semidirect |
| 36. C3×#95 | Dic3 | semidirect |
| 49. C2×C32×C4 | C4⋊C4 | semidirect |
| 97. #95 | C3⋊Dic3 | semidirect |
| 109. C2×C3×C4 | C4⋊Dic3 | semidirect |
| 155. C32 | #1444 | semidirect |
| 175. C2×C4 | C4⋊(C3⋊Dic3) | semidirect |
| 198. C3 | #69419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊(C3⋊Dic3) | 2 |
| C2×C32×#95 | 2 |
| C2×#63658 | 2 |
| #69419 | 3 |