Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
313 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 313 conjugacy classes of subgroups — too many to draw. Only its 92 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. #10589142 | C2 | semidirect |
| 5. #10589117 | C2 | semidirect |
| 207. C32 | #2235 | semidirect |
| 244. C3 | #70602 | semidirect |
| 245. C3 | #71078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#5116 | 2 |
| C2×C3×#818 | 2 |
| #10589415 | 2 |
| #10589142 | 2 |
| #10589117 | 2 |
| #71078 | 3 |
| #70602 | 3 |