Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
329 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 329 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 14. #63550 | C4 | direct (N × H) |
| 89. C32×C4 | Q32 | semidirect |
| 145. C3×C4 | #829 | semidirect |
| 150. C32 | C4×Q32 | semidirect |
| 171. C4 | #63550 | direct (N × H) |
| 175. C3 | C4×#829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C4×Dic12 | 2 |
| C2×#63550 | 2 |
| C4×C3⋊(C3⋊C16) | 2 |
| #10589140 | 2 |
| #10589117 | 2 |
| C4×#829 | 3 |