Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
450 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. #13067128 | C2 | semidirect |
| 5. #13066510 | C2 | semidirect |
| 6. #13066488 | C2 | semidirect |
| 7. C11×#1526 | C2 | semidirect |
| 14. #10622704 | C4 | semidirect |
| 15. #10622703 | C4 | semidirect |
| 16. #10622697 | C4 | semidirect |
| 17. #10622696 | C4 | semidirect |
| 136. #1526 | D11 | semidirect |
| 326. C11 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078772 | 2 |
| #13077634 | 2 |
| #13068429 | 2 |
| #13067128 | 2 |
| #13066510 | 2 |
| #13066488 | 2 |
| C11×#1526 | 2 |
| #9160 | 11 |