Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
363 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 363 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 132. C32×C4 | Q32 | semidirect |
| 213. C3×C4 | Dic24 | semidirect |
| 214. C3×C4 | #829 | semidirect |
| 226. C32 | #2209 | semidirect |
| 254. C4 | #63551 | semidirect |
| 258. C3 | #69293 | semidirect |
| 259. C3 | #71316 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#3746 | 2 |
| C3×#4699 | 2 |
| C2×#63551 | 2 |
| C3×C4⋊(C3⋊C16) | 2 |
| #10589118 | 2 |
| #71316 | 3 |
| #69293 | 3 |