Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
462 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 99 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×#10622126 | C2 | semidirect |
| 3. #13070326 | C2 | semidirect |
| 4. #13066700 | C2 | semidirect |
| 5. C11×#1944 | C2 | semidirect |
| 48. C11×#106 | D4 | semidirect |
| 101. #1944 | D11 | semidirect |
| 197. #106 | D44 | semidirect |
| 249. C11 | #13410 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079062 | 2 |
| C2×#10622126 | 2 |
| #13070326 | 2 |
| #13066700 | 2 |
| C11×#1944 | 2 |
| #13410 | 11 |