Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
458 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×C8×#157 | C2 | semidirect |
| 3. C2×#63733 | C2 | semidirect |
| 4. C2×#63731 | C2 | semidirect |
| 5. #10590958 | C2 | semidirect |
| 9. C2×#3776 | C4 | semidirect |
| 10. C2×#3775 | C4 | semidirect |
| 11. C2×#3774 | C4 | semidirect |
| 210. C32 | #1974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64223 | 2 |
| C2×C8×#157 | 2 |
| C2×#63733 | 2 |
| C2×#63731 | 2 |
| #10590958 | 2 |
| #1974 | 9 |