Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
206 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #13070889 | C2 | semidirect |
| 4. #13066689 | C2 | semidirect |
| 5. #13066675 | C2 | semidirect |
| 6. #13066674 | C2 | semidirect |
| 165. C11 | #12455 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070889 | 2 |
| #13070448 | 2 |
| #13068015 | 2 |
| #13066689 | 2 |
| #13066675 | 2 |
| #13066674 | 2 |
| C11×#1675 | 2 |
| #12455 | 11 |