Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
474 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#63628 | C2 | semidirect |
| 4. #10592572 | C2 | semidirect |
| 6. #10589367 | C2 | semidirect |
| 7. #10589358 | C2 | semidirect |
| 181. C32 | #2211 | semidirect |
| 213. C3 | #69205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10592854 | 2 |
| C2×#63654 | 2 |
| C2×#63628 | 2 |
| #10592572 | 2 |
| C32×#357 | 2 |
| #10589367 | 2 |
| #10589358 | 2 |
| #69205 | 3 |