Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1074 conjugacy classes of subgroups; only the 328 normal subgroups are shown.
This group has 1074 conjugacy classes of subgroups — too many to draw. Only its 328 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×#519 | C2 | semidirect |
| 3. #10589914 | C2 | semidirect |
| 4. #10588686 | C2 | semidirect |
| 9. C2×#3701 | C4 | semidirect |
| 10. C2×Q8×D9 | C4 | semidirect |
| 67. #519 | D9 | semidirect |
| 155. C9 | #2884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63713 | 2 |
| C9×#519 | 2 |
| #10589914 | 2 |
| #10588686 | 2 |
| #82556 | 3 |