Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
930 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 930 conjugacy classes of subgroups — too many to draw. Only its 134 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×#100 | C2 | semidirect |
| 3. #10588901 | C2 | semidirect |
| 4. C2×#63384 | C2 | semidirect |
| 5. #10588815 | C2 | semidirect |
| 11. #63710 | C4 | semidirect |
| 15. C2×C9×M16 | C22 | semidirect |
| 17. C2×C4⋊Dic9 | C22 | semidirect |
| 18. C2×C4×Dic9 | C22 | semidirect |
| 103. D36 | C22⋊C4 | semidirect |
| 107. Dic18 | C22⋊C4 | semidirect |
| 112. C2×#100 | D9 | semidirect |
| 172. C2×M16 | C2×D9 | semidirect |
| 270. C9 | #1792 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63710 | 2 |
| C2×C9×#100 | 2 |
| #10588901 | 2 |
| C2×#63384 | 2 |
| #10588815 | 2 |
| #70086 | 3 |