Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
386 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13070388 | C2 | semidirect |
| 3. #13070335 | C2 | semidirect |
| 4. #13070335 | C2 | semidirect |
| 6. #13066732 | C2 | semidirect |
| 267. C11 | #13405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622756 | 2 |
| #13070388 | 2 |
| #13070335 | 2 |
| #13070244 | 2 |
| #13066732 | 2 |
| C11×#1812 | 2 |
| #13405 | 11 |