Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
258 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 8. C9×#97 | C4 | semidirect |
| 13. C4⋊(C9⋊C8) | C4 | semidirect |
| 88. #97 | Dic9 | semidirect |
| 134. C9 | #1300 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C9×M16 | 2 |
| #10588612 | 2 |
| #10588606 | 2 |
| #67665 | 3 |