Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 85. C32×C4 | Q32 | semidirect |
| 135. C3×C4 | Dic24 | semidirect |
| 141. C32 | #2209 | semidirect |
| 163. C4 | #63628 | semidirect |
| 166. C3 | #69293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63628 | 2 |
| #10592398 | 2 |
| C4×#3746 | 2 |
| C32×C4⋊C16 | 2 |
| #10589369 | 2 |
| #69293 | 3 |