Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1224 conjugacy classes of subgroups; only the 537 normal subgroups are shown.
This group has 1224 conjugacy classes of subgroups — too many to draw. Only its 537 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 |
|---|---|---|
| 7. C32×#125 | C4 | semidirect |
| 37. C3×#125 | Dic3 | semidirect |
| 92. #125 | C3⋊Dic3 | semidirect |
| 147. C32 | #2382 | semidirect |
| 179. C3 | #83027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×#125 | 2 |
| #10592683 | 2 |
| #10592679 | 2 |
| #10592635 | 2 |
| #83027 | 3 |