Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
206 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 69 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. #10593257 | C2 | semidirect |
| 4. #10593256 | C2 | semidirect |
| 98. C3⋊D3 | #364 | semidirect |
| 125. C32 | C2×#364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596481 | 2 |
| C2×C8×#157 | 2 |
| #10593257 | 2 |
| #10593256 | 2 |
| C2×#364 | 9 |