Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
471 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 471 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 1. C9×#519 | C2 | semidirect |
| 3. C2×#63394 | C2 | semidirect |
| 5. #10588210 | C2 | semidirect |
| 12. #63509 | C4 | semidirect |
| 14. #63506 | C4 | semidirect |
| 85. #519 | D9 | semidirect |
| 201. C9 | #1912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C9×#519 | 2 |
| #10589918 | 2 |
| C2×#63394 | 2 |
| #10588685 | 2 |
| #10588210 | 2 |
| #71663 | 3 |