Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
369 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 369 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 131. C32×C4 | Q32 | semidirect |
| 212. C3×C4 | Dic24 | semidirect |
| 213. C3×C4 | #829 | semidirect |
| 223. C32 | #2209 | semidirect |
| 251. C4 | #63551 | semidirect |
| 255. C3 | #69293 | semidirect |
| 256. C3 | #70916 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592398 | 2 |
| C3×C4×Dic12 | 2 |
| C2×#63551 | 2 |
| C3×C4⋊(C3⋊C16) | 2 |
| #10589119 | 2 |
| #70916 | 3 |
| #69293 | 3 |