Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
327 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 327 conjugacy classes of subgroups — too many to draw. Only its 72 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. C9×#494 | C2 | semidirect |
| 3. #10588769 | C2 | semidirect |
| 4. #10588223 | C2 | semidirect |
| 5. #10588136 | C2 | semidirect |
| 66. #494 | D9 | semidirect |
| 149. C9 | #1634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589836 | 2 |
| C9×#494 | 2 |
| #10588769 | 2 |
| #10588223 | 2 |
| #10588136 | 2 |
| #71304 | 3 |