Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
372 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #10589431 | C2 | semidirect |
| 5. #10589353 | C2 | semidirect |
| 127. C32 | #2239 | semidirect |
| 151. C3 | #71090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#470 | 2 |
| #10592824 | 2 |
| #10589431 | 2 |
| #10589419 | 2 |
| #10589353 | 2 |
| #71090 | 3 |