Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1176 conjugacy classes of subgroups; only the 438 normal subgroups are shown.
This group has 1176 conjugacy classes of subgroups — too many to draw. Only its 438 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. #10588909 | C2 | semidirect |
| 7. C22×Q8×C9 | C4 | semidirect |
| 89. C22×Q8 | Dic9 | semidirect |
| 140. C9 | #2310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Q8×C9 | 2 |
| C2×#63488 | 2 |
| #10588909 | 2 |
| #10588891 | 2 |
| #84062 | 3 |