Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
302 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 302 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 |
|---|---|---|
| 2. C2×#10622142 | C2 | semidirect |
| 3. #13066798 | C2 | semidirect |
| 4. #13066795 | C2 | semidirect |
| 5. C2×C11×M64 | C2 | semidirect |
| 11. #10622517 | C4 | semidirect |
| 33. Dic88 | C2×C4 | semidirect |
| 36. D176 | C2×C4 | semidirect |
| 62. C2×M64 | D11 | semidirect |
| 155. C11 | #13616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622517 | 2 |
| C2×#10622142 | 2 |
| #13066798 | 2 |
| #13066795 | 2 |
| C2×C11×M64 | 2 |
| #13616 | 11 |