Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
270 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 134 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 |
|---|---|---|
| 82. C9 | #1838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×#97 | 2 |
| #10588604 | 2 |
| #10588227 | 2 |
| #69841 | 3 |