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×#10622133 | C2 | semidirect |
| 3. C2×#10622135 | C2 | semidirect |
| 4. #13070326 | C2 | semidirect |
| 5. C2×#10622129 | C2 | semidirect |
| 6. #13066705 | C2 | semidirect |
| 7. C11×#1952 | C2 | semidirect |
| 57. C11×#108 | D4 | semidirect |
| 129. #1952 | D11 | semidirect |
| 245. #108 | D44 | semidirect |
| 312. C11 | #13411 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079102 | 2 |
| C2×#10622133 | 2 |
| C2×#10622135 | 2 |
| #13070326 | 2 |
| C2×#10622129 | 2 |
| #13066705 | 2 |
| C11×#1952 | 2 |
| #13411 | 11 |