Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
780 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 169 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×C32×#101 | C2 | semidirect |
| 3. C2×#63663 | C2 | semidirect |
| 4. #10589343 | C2 | direct (N × H) |
| 18. C32×#101 | C22 | semidirect |
| 20. #63663 | C22 | semidirect |
| 22. C2×C3×#101 | D3 | semidirect |
| 65. C3×#101 | C2×D3 | semidirect |
| 97. C2×#101 | C3⋊D3 | semidirect |
| 155. #101 | C2×C3⋊D3 | semidirect |
| 185. C2×C32 | #355 | semidirect |
| 230. C32 | C2×#355 | semidirect |
| 260. C2×C3 | #4477 | semidirect |
| 278. C3 | C2×#4477 | semidirect |
| 282. C2 | #10589343 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64156 | 2 |
| C2×C32×#101 | 2 |
| C2×#63663 | 2 |
| #10589343 | 2 |
| C2×#4477 | 3 |