Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
542 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 135 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. #10590093 | C2 | semidirect |
| 6. C22×#622 | C4 | semidirect |
| 8. #64286 | C4 | semidirect |
| 12. C2×#3787 | C4 | semidirect |
| 145. C32 | #1735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64286 | 2 |
| C22×#3787 | 2 |
| #10590093 | 2 |
| #1735 | 9 |