Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
576 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 150 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 |
|---|---|---|
| 2. C2×C9×C4⋊C8 | C2 | semidirect |
| 3. C2×(C2×D9)⋊C8 | C2 | semidirect |
| 4. C2×#63362 | C2 | semidirect |
| 41. C2×C9⋊C8 | D4 | semidirect |
| 78. C2×C4⋊C8 | D9 | semidirect |
| 190. C9 | #1955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D36 | 2 |
| C2×C9×C4⋊C8 | 2 |
| C2×(C2×D9)⋊C8 | 2 |
| C2×#63362 | 2 |
| #70471 | 3 |