Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
351 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 351 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 6. C23×Dic9 | C4 | semidirect |
| 10. C2×#3676 | C4 | semidirect |
| 12. C9×#100 | C4 | semidirect |
| 14. #63393 | C4 | semidirect |
| 140. #100 | Dic9 | semidirect |
| 231. C9 | #1390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×#100 | 2 |
| #10588900 | 2 |
| C2×#63393 | 2 |
| #67698 | 3 |