Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
219 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 219 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 169. C32 | #1338 | semidirect |
| 197. C3 | #67518 | semidirect |
| 198. C3 | #67559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592378 | 2 |
| C3×C4⋊(C3⋊C16) | 2 |
| C3×#4461 | 2 |
| #67559 | 3 |
| #67518 | 3 |