Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
258 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 20. #63362 | C4 | semidirect |
| 21. C4×C9⋊C8 | C4 | semidirect |
| 198. C9 | #1833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63381 | 2 |
| #10588676 | 2 |
| #10588675 | 2 |
| C9×H(3,ℤ/4) | 2 |
| #10588232 | 2 |
| #10588210 | 2 |
| #10588209 | 2 |
| #68699 | 3 |