Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
294 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 8. #64078 | C4 | semidirect |
| 11. #63630 | C4 | semidirect |
| 109. C32 | #1407 | semidirect |
| 133. C3 | #67549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592759 | 2 |
| C32×#355 | 2 |
| #10589407 | 2 |
| #67549 | 3 |