Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
213 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 213 conjugacy classes of subgroups — too many to draw. Only its 66 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. #10588533 | C2 | semidirect |
| 5. #10588195 | C2 | semidirect |
| 6. #10588189 | C2 | semidirect |
| 7. #10588164 | C2 | semidirect |
| 16. #63388 | C4 | semidirect |
| 17. #63386 | C4 | semidirect |
| 164. C9 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10588877 | 2 |
| #10588875 | 2 |
| #10588533 | 2 |
| C9×#360 | 2 |
| #10588195 | 2 |
| #10588189 | 2 |
| #10588164 | 2 |
| #69248 | 3 |