Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
810 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 810 conjugacy classes of subgroups — too many to draw. Only its 183 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 |
|---|---|---|
| 8. #10593552 | C2 | direct (N × H) |
| 178. C2×C32 | #398 | semidirect |
| 182. C3⋊D3 | #398 | semidirect |
| 241. C32 | C2×#398 | semidirect |
| 322. C2 | #10593552 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#157 | 2 |
| C22×#3777 | 2 |
| C2×#63781 | 2 |
| C2×#63747 | 2 |
| #10593552 | 2 |
| C2×#398 | 9 |