Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
290 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13066797 | C2 | semidirect |
| 8. C2×C11×Q32 | C4 | semidirect |
| 74. C2×Q32 | Dic11 | semidirect |
| 129. C11 | #13618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622137 | 2 |
| #13070400 | 2 |
| #13066797 | 2 |
| C22×C11×Q32 | 2 |
| #13618 | 11 |