Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
930 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 930 conjugacy classes of subgroups — too many to draw. Only its 209 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. #10596283 | C2 | semidirect |
| 3. C32×#419 | C2 | semidirect |
| 6. #10589425 | C2 | semidirect |
| 7. #10589397 | C2 | semidirect |
| 15. C2×#3756 | C4 | semidirect |
| 18. C2×#3755 | C4 | semidirect |
| 28. C3×#419 | D3 | semidirect |
| 118. #419 | C3⋊D3 | semidirect |
| 273. C32 | #1905 | semidirect |
| 323. C3 | #70334 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596283 | 2 |
| C2×#64151 | 2 |
| C32×#419 | 2 |
| #10592838 | 2 |
| #10592705 | 2 |
| #10589425 | 2 |
| #10589397 | 2 |
| #70334 | 3 |