Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
316 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 103 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×#10622095 | C2 | semidirect |
| 3. #13066667 | C2 | semidirect |
| 4. #13066660 | C2 | semidirect |
| 5. C11×#2162 | C2 | semidirect |
| 91. #2162 | D11 | semidirect |
| 226. C11 | #11944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079186 | 2 |
| C2×#10622095 | 2 |
| #13066667 | 2 |
| #13066660 | 2 |
| C11×#2162 | 2 |
| #11944 | 11 |