Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
462 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 5. #10593560 | C2 | direct (N × H) |
| 162. C2×C32 | #479 | semidirect |
| 164. C3⋊D3 | #479 | semidirect |
| 210. C32 | C2×#479 | semidirect |
| 265. C2 | #10593560 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#157 | 2 |
| C2×#64243 | 2 |
| C2×#63784 | 2 |
| #10593560 | 2 |
| C2×#63746 | 2 |
| C2×#63745 | 2 |
| C2×#63744 | 2 |
| C2×#479 | 9 |