Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
186 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 3. #10588242 | C2 | semidirect |
| 5. #10588164 | C2 | semidirect |
| 127. C9 | #2239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#470 | 2 |
| #10588800 | 2 |
| #10588242 | 2 |
| #10588230 | 2 |
| #10588164 | 2 |
| #71090 | 3 |