Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
438 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 122 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. C2×C9×#108 | C2 | semidirect |
| 3. C2×#63384 | C2 | semidirect |
| 4. #10588811 | C2 | semidirect |
| 5. C2×#63375 | C2 | semidirect |
| 14. C2×D72 | C4 | semidirect |
| 15. C2×#3664 | C4 | semidirect |
| 16. C2×Dic36 | C4 | semidirect |
| 90. C2×#108 | D9 | semidirect |
| 210. C9 | #1975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63467 | 2 |
| C2×C9×#108 | 2 |
| C2×#63384 | 2 |
| #10588811 | 2 |
| C2×#63375 | 2 |
| #70697 | 3 |