Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2148 conjugacy classes of subgroups; only the 765 normal subgroups are shown.
This group has 2148 conjugacy classes of subgroups — too many to draw. Only its 765 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 |
|---|---|---|
| 2. #10596283 | C2 | semidirect |
| 3. #10592939 | C2 | semidirect |
| 6. C2×C32×#41 | C4 | semidirect |
| 8. C22×C32×Q8 | C4 | semidirect |
| 31. C2×C3×#41 | Dic3 | semidirect |
| 33. C22×C3×Q8 | Dic3 | semidirect |
| 74. C2×#41 | C3⋊Dic3 | semidirect |
| 76. C22×Q8 | C3⋊Dic3 | semidirect |
| 117. C32 | #2884 | semidirect |
| 141. C3 | #84119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×2−1+4 | 2 |
| #10596283 | 2 |
| #10592939 | 2 |
| #84119 | 3 |