Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
516 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 146 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 |
| 4. C2×#63376 | C2 | semidirect |
| 5. C4×C4⋊Dic9 | C2 | semidirect |
| 16. #63437 | C4 | semidirect |
| 93. C2×C4⋊C8 | D9 | semidirect |
| 226. C9 | #1983 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63437 | 2 |
| C2×C9×C4⋊C8 | 2 |
| C2×#63380 | 2 |
| C2×#63376 | 2 |
| C4×C4⋊Dic9 | 2 |
| #70458 | 3 |