Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
672 conjugacy classes of subgroups; only the 305 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 305 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 |
|---|---|---|
| 11. C32×#97 | C4 | semidirect |
| 35. C3×#97 | Dic3 | semidirect |
| 82. #97 | C3⋊Dic3 | semidirect |
| 125. C32 | #1836 | semidirect |
| 155. C3 | #69815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×#97 | 2 |
| #10592635 | 2 |
| #10592634 | 2 |
| #10589417 | 2 |
| #69815 | 3 |