Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
540 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 154 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 |
|---|---|---|
| 4. C2×#63368 | C2 | semidirect |
| 5. #10588206 | C2 | semidirect |
| 16. #63486 | C4 | semidirect |
| 225. C9 | #1873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×#117 | 2 |
| C2×#63486 | 2 |
| C2×#63389 | 2 |
| C2×#63368 | 2 |
| #10588206 | 2 |
| #71585 | 3 |