Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
337 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 337 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. #10589141 | C2 | semidirect |
| 5. #10589119 | C2 | semidirect |
| 220. C32 | #2235 | semidirect |
| 257. C3 | #69098 | semidirect |
| 258. C3 | #70602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592815 | 2 |
| C2×C3×#818 | 2 |
| C3×#4549 | 2 |
| #10589141 | 2 |
| #10589119 | 2 |
| #70602 | 3 |
| #69098 | 3 |