Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
434 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 101 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×#10622203 | C2 | semidirect |
| 5. #13070220 | C2 | semidirect |
| 6. #13068739 | C2 | semidirect |
| 7. C11×#2141 | C2 | semidirect |
| 14. #10622804 | C4 | semidirect |
| 16. #10622794 | C4 | semidirect |
| 122. #2141 | D11 | semidirect |
| 285. C11 | #13216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079105 | 2 |
| C2×#10622203 | 2 |
| #13070351 | 2 |
| #13070345 | 2 |
| #13070220 | 2 |
| #13068739 | 2 |
| C11×#2141 | 2 |
| #13216 | 11 |