Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
414 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 122 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 |
|---|---|---|
| 15. C2×Dic36 | C4 | semidirect |
| 191. C9 | #1979 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic36 | 2 |
| C2×C9×#108 | 2 |
| C2×#63382 | 2 |
| #10588804 | 2 |
| #10588782 | 2 |
| #70710 | 3 |