Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
450 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 3. #13067210 | C2 | semidirect |
| 4. #13067129 | C2 | semidirect |
| 5. #13066510 | C2 | semidirect |
| 6. #13066489 | C2 | semidirect |
| 19. #10622644 | C4 | semidirect |
| 21. #10622634 | C4 | semidirect |
| 22. #10622632 | C4 | semidirect |
| 24. #10622621 | C4 | semidirect |
| 326. C11 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078778 | 2 |
| #13068426 | 2 |
| #13067210 | 2 |
| #13067129 | 2 |
| #13066510 | 2 |
| #13066489 | 2 |
| C11×#2971 | 2 |
| #9160 | 11 |