Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 214 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 214 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 |
|---|---|---|
| 6. #10588538 | C2 | direct (N × H) |
| 127. C2×C9 | #499 | semidirect |
| 155. C9 | C2×#499 | semidirect |
| 182. C2 | #10588538 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63452 | 2 |
| C2×C9×#106 | 2 |
| C2×#63377 | 2 |
| C2×C8×Dic9 | 2 |
| C2×#63366 | 2 |
| #10588538 | 2 |
| C2×#4858 | 3 |